Are your world-domination tools not durable enough? Pesky do-gooders keep cracking your power crystals and popping your Soul Jar's freshness seal? Then try our latest in our fine line of world domination products. With our Indestructium alloy, your superweapon or Cosmic Keystone is completely safe from anything the forces of good can throw at it. Warning: warranty void if dropped in a volcano, sun or black hole.
This is where a thing, usually the object required for the Big Bad to succeed in his master plan to Take Over the World, cannot be destroyed by conventional means, if at all. Maybe it's made of Unobtainium? A Wizard Did It? Whatever the case, the point is that this object, usually some kind of Applied Phlebotinum that helps the villain achieve his goals, cannot be destroyed easily and may only be able to be destroyed in a specific manner that usually involves rare and obscure means. This can often be used to justify why the heroes are carrying around such a dangerous object instead of destroying it.
The logical opposite of Made of Explodium. A step above Nigh-Invulnerability.
Compare Tonka Tough, which is mainly for real-life objects that have a reputation for extreme durability. See also Made of Iron, for characters.
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The Book of Darkness of Magical Girl Lyrical Nanoha A's may fit, considering it has regenerative powers and can come back again and again even if completely obliterated. Basically the only theoretical way to stop it forever is to freeze it.
The Dragon Balls in Dragon Ball qualify for this. The four-star-ball once saved Goku's life when it blocked Tao Pai Pai's Dodonpa from piercing his heart.
The balls yes, but unfortunately not the dragon part.
Katchin/ Klangtite, the hardest metal in the universe. Snapped the Z Sword like a twig.
Oddly enough, Vegeta once told Krillin to destroy a dragonball to keep the villains from getting it when the villains had already collected most of the set. There's no implication that it wouldn't have worked. Then again, the characters in Z are way more powerful than they were in the original series.
Lampshaded in the same scene of the Abridged Series. When Vegeta tells him to break the ball, Krillin tries to tell him they're indestructible, but he pressures him into trying to break it anyway, only for him to repeatedly bruise his hand doing so.
Worth noting is that Goku being protected by the Dragonball in his shirt was in the manga, but the claim of them being literal indestructiblewas not and thus probably isn't canon.
Super Saiyan 4 Goku once tried to eat a Dragonball to keep it away from a villain. The dragonball not only survived unscathed, it popped out of his forehead.
The Hogyoku in Bleach, which is why Urahara was forced to seal it in Rukia's soul instead of destroying it.
In One Piece, the only reason the Government Conspiracy haven't completely erased all traces of the "Void Century" already is that the history is recorded on things called Poneglyphs, which are indestructible. So they settle for killing anyone capable of reading them, such as Nico Robin.
Seastone, besides acting as a Kryptonite Factor for Devil Fruit users, is also said to be hard as diamond. When Robin's hands are locked up with shackles made of the stuff, the Straw Hats had to fight all the members of CP9 to find which one had the right key.
In Lupin III, Goemon's sword was forged by a secret process and is essentially indestructible (it actually broke in The Secret Of Twilight Gemini with no comment, but that was probably a mistake on the writer's part and can be safely ignored).
Gundams are usually Made of Indestructium for one reason or another, but exactly how invulnerable they are depends on the series. Compare Gundam Wing, in which a grand total of two Gundams get destroyed involuntarily (the rest self-destruct), to Gundam 00, which sees the destruction of more than a dozen Gundams in battle.
In Digimon, Mega-level Digimon often have armor or weapons made of something called Chrome Digizoid. It's rare to see it damaged by something other than a weapon made from the same stuff, though it can be done.
Mazinger Z is an early Anime example. The title Humongous Mecha is made with Alloy Z, an alloy made of Japanium, a rare metal can be found only in Japan. Dr. Kabuto discovered the metal and built Mazinger Z with it, thinking Mazinger would become indestructible. Throughout the series, the mecha got hit by giant monsters, missiles, bombs, got burned and electrocuted, got dumped in lava and doused in acid... and even though it got damaged every so often, the Alloy Z endured all of that until the last chapter, and kept Kouji alive. Several times Dr. Hell and his dragons would try and get their hands on a sample of Alloy Z to build his Robeasts with it because Mazinger's armor was too tough to break it, shatter it or dissolve it easily. The concept of chogokin ("Super Alloy") became so pervasive and widespread all Super Robots followed Mazinger were made of chogokin, and it baptized one whole toy line.
Great Mazinger was also made of Japanium, but the alloy it was made with was even sturdier.
On the other hand, UFO Robo Grendizer was made with Gren, an incredibly tough metal. Nevertheless, it could not be found on Earth, so when Grendizer got damaged, he was repaired with Alloy Z.
Finally, Mazinkaiser took that concept and RAN WITH IT. Nothing seems being capable to even scratch it. This video should show it convincingly: 
The Walking Church is a magical garment that is supposed to be indestructible. However, while it can stop blades and explosions, it still shatters just like any other magical item when touched by Touma's Imagine Breaker. It is briefly mentioned that the Dragon of St. George would have been powerful enough to destroy it.
Aleister Crowley's stronghold the Windowless Building is said to be able to effortlessly withstand a nuke. At one point, Accelerator picked up a building and threw it at the Windowless Building, and Mikoto dropped a lightning bolt dozens of times stronger than the strongest lightning that occurs in nature. Both the thrown building (shattered on impact) and the lightning boltfailed to leave a scratch. However, the Windowless Building has flaws and weak points. Touma and Thor manage to exploit them and break in.
Original Grimores cannot be destroyed. They draw on the earth's magical field to protect themselves, and although theoretically taking them into space would weaken them, mages believe that it would be impossible to take them out of the atmosphere if that placed them at risk of destruction. In fact, because of how they work, even Imagine Breaker may not be able to destroy them.
Adamantium functions as this in the Marvel 'verse.
Possibly best known as the substance that coats Wolverine's bones, making them nigh-unbreakable.
The Marvel Universe also has Vibranium, which is functionally indestructible. There's also Carbonadium, a cheaper form of adamantium which is functionally indestructible as well. In terms of true and utter indestructibility, even adamantium is vulnerable.
Captain America's shield, The Mighty Thor's hammer and Silver Surfer's Power Cosmic enhanced board are indestructible in most stories. note The exception here is The Molecule Man who has absolute control over chemical bonds. The Beyonder and Thor when Odinforce empowered are also exceptions. The shield is also an example of Unobtainium. It's made of a vibranium-iron alloy with a mystery catalyst that no one can identify. The guy running the experiment fell asleep when it was added and couldn't duplicate the results. It has only been shattered a few times, once by Doctor Doom wielding the might of the Beyonder in Secret Wars and by Thanos bringing The Infinity Gauntlet down on it.
In fact it was attempts at duplicating this process that led to the creation of the slightly less indestructible adamantium.
In the Fear Itself story arc, Cap's shield finally meets its match and gets torn in half by the big bad. Flash forward to the end where Iron Man reforged it - with Uru (the metal Thor's hammer is made of.) It's probably even MORE indestructible now.
Adamantium serves a similar role in the Ultimate universe as well. It's not entirely indestructible there either; the Hulk was able to break an adamantium needle once.
In X-Men: Wolverine's rage, Lady Deathstrike tries building a weapon that will melt adamantium.
Vibranium (or certain variants) actually acts as anti-Indestructium. Due to its Vibro Weapon nature it can cut through other metals like butter, even adamantium.
Attempts to artificially replicate vibranium in labs have given birth to Antarctic Vibranium whose main characteristic is to melt any metal in the near vicinity.
Sonic the Comic had Metagal, an alloy Dr. Robotnik commissioned for his badniks which Tekno created. The first of these resisted its brainwashing and promptly joined the fight against him, while the second attempted to seize power for itself. The third (and final) version was actually a relative success.
Metagal was only shown to be damaged four times: once by a combination of laser fire to weaken it and an attack by Sonic, once by a corrosive acid, once by Super Sonic, and once by Freeze Ray to make it brittle.
Back in the Silver Age of comics, anything from Krypton was effectively made of indestructium while on Earth.
In Pre Crisis DC Comics at least, the most indestructible metal (aside from the 30th century's inertron) was probably either Supermanium (a metal created by Superman that he made the door to his Fortress of Solitude out of) or Amazonium (the metal Wonder Woman's bracelets were made from).
Interesting justification in the French comics Papyrus. Pharaoh's soldiers encounter enemies who have swords made of indestructium. They capture the princess, but the soldiers manage to take an indestructium dagger. The author explains it in footnote: that's just iron, which may as well be indestructium against the Egyptian bronze swords!
This is a serious error, though. The reason people stopped using bronze for weapons and switched to iron was that the prices of tin increased substantially due to decreased supply. Iron is not a very good material for weapons, so in the Bronze Age, bronze weapons were superior to iron weapons. Yes, iron was a cheap substitute for bronze once people figured out how to forge iron weapons. This changed only after people learned how to fiddle with carbon content in iron (i.e. when they started making and perfecting steel).
In the New 52, Superman's cape and costume are like this.
Back during the Pre-Crisis era, every Kryptonian costume was made like this. Perhaps the only time this wasn't true was when both Kal-L and Kal-El were in the Anti-Matter universe dealing with the Anti-Monitor in Crisis on Infinite Earths.
Captain America's shield doesn't disappoint in the Marvel Cinematic Universe. In its most impressive showing in The Avengers, he blocked Thor's hammer, which leveled the forest they were in and sent Thor flying, while Cap was completely unharmed.
The Wolverine: Wolverine's claws and the Silver Samurai suit and swords are made of adamantium. Subverted near the end when Wolverine's claws were cut off by Yashida's heated adamantium sword and are regenerated later into bone claws.
The original Star Trek series had "The Doomsday Machine", which was made of solid neutronium and could only be destroyed by blowing up a starship inside it. However, even this rather extreme method only managed to disable it by damaging the sensitive equipment inside. The outside was entirely unscathed.
The Borg are sometimes presented as this (for example, in the first episode of Deep Space Nine, when Federation weapons don't even scratch the Borg cube) when they have adapted to your weapons. The Borg Collective may be indestructible, but their individual drones and ships are damaged by weapons just like anything else. They're just really, really good at coming up with defenses quickly.
The Stargates are very nearly indestructible (excluding the ones in Stargate Universe, anyways), especially when active. They've survived direct hits from meteors, swallowed up by lava, nuclear explosions, dropped into suns (although that one had an energy shield to bolster it)... often, not only do they survive these ordeals, but they keep functioning perfectly. That's not to say they never get destroyed; the Earth military eventually does make a bomb capable of it: the Mark IX "Gatebuster" Naquadriah-enhanced nuke. Stated at one point to have a blast radius of well over 1,000 km. The Gatebuster's blast is also enhanced by the Stargate itself.
Many robots of all kinds (though usually the humanoid, kill-everyone variant) can be considered part of this. Here it's usually not the robot itself that is indestructible, but the electronics inside. Cut off its head, punch a hole in its stomach, it will just keep going for you as if nothing happened. Guess all the important parts are in the toes.
The Beast in Angel, though he is killed by a weapon made out of what he is made out of.
The Lynda Carter Wonder Woman TV series has her indestructible bracelets made of "Feminum," a metal found only on Paradise Island. (The metal is called "Amazonium" in the comics, and has different origins.)
Jeremy Clarkson and James May on TopGear make multiple attempts to destroy a Toyota Hilux pickup truck including driving it into a tree, tying it to a jetty and letting it be submerged by the tide (it eventually got washed away and took 4 hours to find) dropping a caravan on it, hitting it with a wrecking ball, setting it on fire and finally putting it on top of a 240 foot block of flats that was subsequently demolished. No spare parts were allowed (Well, they did replace the windshield after the original was lost to the tide, but that was so that they could drive it through a shack without risking injury to the driver) and only equipment found in a basic toolkit was allowed to be used..it still works and now occupies a place of honour in the studio.
The One Ring: Gandalf confirms that nothing that Middle-earth possesses can even damage it. He gets rather specific as to the methods that could be attempted and specifically mentions that not even Dragonfire (which had destroyed three of the Seven Rings of Power given to the Dwarves), from the most powerful Dragon no less, would've been able to so much as singe it. In the end the only way to destroy it is to throw it into Mt. Doom, where it was made.
There are multiple ways to destroy the Ring, it's just that most of them involve getting help from individuals who are abstaining from the conflict or would use it for themselves instead of breaking it.
The walls of Orthanc and Minas Tirith are invulnerable to all known weapons and projectiles.
In Timothy Zahn's The Conquerors Trilogy, the alien Zirrch have hulls which seem to be this, at first. The deadliest human missiles do nothing. It's not until the perspective flips that we find out they're very sturdy, yes, but the shockwaves of the explosions devastate the ship's insides. Also, humans eventually figure out how to destroy them.
In Larry Niven's Known Space stories, the hulls of General Products ships were advertised to be invulnerable to harm. In one story it was revealed that they could be destroyed by contact with antimatter; they can also be destroyed by turning off the effect that's holding the hull together. However, anything enclosed in a stasis field reflects all forms of energy and is completely indestructible — except perhaps by being dropped into a black hole.
In the Perry Rhodan universe the Molkex fall into this. The substance is created by chaosworm and is linked to an alternate universe. All standard energy weapon and nuclear bomb can't destroy it.
Densecris and carbonex serve as this in Steve Perry's Matador series. It's mentioned that a few centimeters of densecris are enough to protect from a direct missile hit, and that a bunker with carbonex plating is 'going to take a long time to dig through'.
Nara is treated this way in the Myst franchise: made from fusion-compounded rock, the D'ni used Nara when it absolutely, positively had to last the ages. Which led to it suffering from a rare architectural version of The Worf Effect when it was shown not to be earthquake-resistant; furthermore, Myst IV: Revelation demonstrated that it can be shattered with the right sound frequencies. Deletheni, a lighter material used in the hazard suits employed by the Guild of Maintainers, is similarly nigh-indestructible but less so; this does not stop such a hazard suit from protecting its wearer from a supernova.
Jedi Academy Trilogy: whatever the Sun Crusher is made of, it counts. It can take out a capital ship by flying through it and remain completely unharmed; similarly, it's still in perfect condition after sitting in the heart of a gas giant. Oh, and it's a superweapon the size of a starfighter. If Spaceship Sue was a trope, the Sun Crusher would be the picture at the top. The Sun Crusher does possess two weaknesses. Its conventional weapons are externally mounted, in its first battle the Imperial forces they were fighting just blasted the crusher until all its cannons were slag, cue the ramming.
In Deltora Quest, the gems of the Belt of Deltora can not be destroyed. Supposedly, the belt can not be destroyed either as long as the heir to the throne of Deltora lives, although this is entirely unsubstantiated in the book The Belt of Deltora, as Lief realises when he believes the royal line may be dead after all.
In Robert Jordan's The Wheel of Time series, cuendillar is "an indestructible substance created during the Age of Legends. Any known force used in an attempt to break it is absorbed, making it stronger." However, this doesn't stop the Dark One's seals from breaking
It's not specifically stated as being indestructible, but it does reject harmful things (i.e., doesn't get dusty, doesn't rust), and imbues things that strengthen it (such as the aforementioned poison). But there's no actual proof that the metal can't be destroyed. A better example in the Harry Potter series would be the Unbreakable Charm, which causes objects to become Indestructium. Presumably, the charm can be reversed or removed, however.
The character Monkey, from Journey to the West, is a living being Made of Indestructium. It's probable that the fact his mother was a mountain impregnated by the cosmic forces of the universe made him tough to begin with (he is described repeatedly as a "stone monkey"), but after he got into Heaven, he gorged himself on both Peaches of Immortality, Wine of Heaven and Elixir of Long Life. And even before he got to Heaven, he had caused trouble by beating up all of the gods and demons of the Underworld and crossing his name out of the Register of the Dead, meaning that his soul couldn't pass on to the afterlife if he died anyway. And then, after he ate all that immortality-granting foodstuff, he was finally captured and spent 49 days being cooked inside Lao Tzu's crucible, which should have been enough to kill even another god, but which only cooked him even harder then before... and he was thrown in the crucible in the first place because even the strongest god in Heaven couldn't scratch him with his sharpest sword!
Subverted in the Wing Commander novel Fleet Action. The Kilrathi launch a fleet of heavily armored super-carriers, designed to be able to fight their way deep into Confederation space despite the best efforts of a (recently downsized) Confederation Navy. The solution? Space Marines board the carriers, and plant nuclear warheads as deep inside the ships as they can fight their way to. The very same armor that made the carriers immune to outside attack doom them as they prove equally capable at concentrating the destructive force of anything set off inside of them.
The Two-Faced Ring in Septimus Heap will make its wearer indestructible. Subverted with the Ring itself, as it is targeted for destruction at the end of Darke.
Keill Randor, protagonist of the Last Legionary, starts out with his bones full of deadly radiation that's slowly killing him. The Overseers replace his entire skeleton with an unbreakable organic alloy.
A comic example in the Stephanie Plum books with a '53 powder blue Buick owned by Stephanie's late Uncle Sandor. Every other car Stephanie has owned tends to explode, get set on fire, crushed, flattened, or stolen. All except the Buick. She has used it as a battering ram against other cars several times, and it has incurred absolutely no damage while totalling the opposing vehicle.
Dungeons & Dragons up to and including AD&D2 assumed that artifacts and relics surpass normal mortal magic and could only be destroyed by one of a few very specific methods — much like the One Ring from The Lord of the Rings. When given in sourcebooks they get "Suggested Means of Destruction" entry, usually with more than one variant, but those are things like being trampled under the heel of the specific god or a thousand of specifically stone giants one after another, crushed between two colliding meteors or left to rust in the tears of elven princesses for 999 years.
Magic: The Gathering features items made of Darksteel, ranging from ingots to giant robots. They are indestructible — as in, the cards literally say, "This is indestructible". This does not however, prevent them from being exiled from the game, rendered incapable of doing anything, sacrificed, or killed by being reduced to 0 toughness via Wither or other weakening effects. Magic gives you a wide range of alternatives. A creature or artifact with both Indestructible and Hexproof or Shroud (which prevent it from being targeted by hostile spells and effects) would be the closest to totally invincible, but it could still be sacrificed or dealt with by non-targeted effects.
Warhammer 40,000 features the ever-bemoaned Necron Monolith, made of a 'living metal' that can physically alter its shape. It was already immune to the tank-killing effects of heat based weapons (melta), targeting weapons (lance), rending weapons, and dedicated tank-hunting specialists, but thanks to a 5th edition rules change and a quirky Rules-as-Written interpretation, it physically cannot be destroyed by glancing hits (the new Hull Point system in 6th edition thankfully reverses that last part).
The Monolith can be destroyed provided you have a Strength 9 or higher weapon, but that's the only way to destroy it. However, a Strength 9 or 10 (10 is about as high as you can get in a normal game) weapon simply means you have a chance at destroying it. Actually completing the feat means you need 2 consecutive 5's or 6's, not to mention hitting the damn thing first.
The Demon Hunter's Tassels from GURPS: Dungeon Fantasy are an amusingly mundane version of this. Cutting the threads is impossible, even a God must settle for untying them from whatever they are fixed to.
One Paranoia module includes a Running Gag with a bunch of Commie propaganda pamphlets that turn out to be this. At one point, they get superglued to the PCs!
The Elder Scrolls in the Elder Scrolls series cannot be destroyed but if one is left unattended and uncontained it may cease to exist due to being partially outside time. In Skyrim you can half-jokingly say you were hoping to use the indestructible scrolls as armor.
Due to technical and resource limitations, just about everything in videogames tends to be this. Even though a Rocket Launcher is one of the Standard FPS Guns, don't expect to be able to blow out a wall, or dent the ground, or even destroy a car depending on the game, especially prevalent in Linear Games. Although, there are a few aversions.
The 'Far Jumper' hyperdrive in Homeworld — even if a ship using it is completely destroyed, in the game it always emerges unscathed. Even a self-destruct with enough power to destroy nearby capital ships can't dent it.
The Web Game IndestructoTank features a tank that is made out of a material called indestructanium. Ironically, once the fuel runs out, it's more like Explodium.
The briefcase from Team Fortress 2. While hails of gunfire, flames, explosions and everything else goes on around it, the flag sits exactly where it was left, calmly rotating 6 inches above the surface of the floor.
The Payload bomb cart as well—at least until it gets to the end, anyway.
Actually, most anything that isn't directly used by the classes themselves seems to be effectively indestructible.
The Shinra building in the Final Fantasy VII Compilation appears to fit the trope. This◊ is what it looks like after Diamond Weapon, Meteor, the Lifestream, Sephiroth, Cloud, Chaos and Omega all threw everything they had at it.
In Dwarf Fortress, artifact items are apparently invulnerable to everything including being thrown down a volcano (they just sit around at the bottom). Furthermore, artifacts made of wood CAN catch on fire, but they take no damage from it and just keep burning forever.
In NetHack, "artifact" items are the only things that can be put in a player's inventory that can't be destroyed. Not all of them, though. The Amulet of Yendor, in particular, is the only item that cannot even be removed from the game's code by transference into the higher planes.
Mass Relays in Mass Effect are composed of an unknown yet incredible resilient material, are equipped with self cleaning and maintenance cycles and internal power generation, and can emit powerful mass effect stasis fields in response to threats, preserving the relay's structural integrity at a quantum level and preventing even state-of-the-art laser drilling from extracting pieces for analysis. (It also helps that Mass Relays, which are natural choke points, are extensively guarded and patrolled, and Council species very heavily frown on anyone interfering with them.)
It's revealed during the Arrival mission in Mass Effect 2 that Relays can be destroyed, although it requires a colossal force to do so. Most scientists don't want to look too deeply into this because the detonation of a Relay's Mass Effect core can wipe out an entire solar system. (And not to mention leaving other systems stranded!)
The Scrin Threshold Towers in the Command & Conquer verse are made of a Tiberium composite material whose exact contents are never revealed. While incomplete, blasting a Threshold once with an ion cannon will topple it but once it finishes construction, the material partially phases out of reality and renders the whole tower invulnerable to everything up to and including nuclear detonations, cometary impacts and low-yield stellar events.
Professor E. Gadd notes that his Poltergust 3000 is almost indestructible in Luigi's Mansion.
Certain buildings in the Fallout universe, considering what they had to have survived. During the development of Fallout 3, Bethesda ran simulations to see what buildings in the D.C. area would survive a nuclear holocaust in Real Life. The answer: none of them. So they fudged it.
Bedrock in Minecraft is immune to explosions of every size and cannot be mined with any tool. Only in creative mode can it be removed in any way. Obsidian, too, is immune to explosions and can only be removed with a diamond pick, or by spending over four minutes to remove a single block.
Porky's Absolutely Safe Capsule in Mother 3 is just that, Absolutely Safe. Nothing the main characters do can damage it, and the battle is declared over after two turns. And additionally, not even Porky himself can do anything to the capsule, or even exit it for that matter. In other words, he's stuck in it forever.
Played for laughs in Pokémon Black and White. Bianca accidentally destroys everything in your bedroom the first time you battle her. Your Nintendo Wii isn't even scratched.
Using Samus's scan visor on particularly large and grey Galactic Federation crates in Metroid Prime 2: Echoes tells her that they are made from "the strongest metals in the cosmos and cannot be destroyed".
In Ancient Domains of Mystery, there are a number of different materials of different durability and quality, culminating in eternium, which can't be destroyed at all except by divine intervention and, in the case of weapons, also cannot be partially damaged by any means. (And yes, in this game you may get a god going after your items.) Artifact items are a step above that, because even direct divine intervention cannot harm them. You can actually humiliate your god (which they will acknowledge as such) by getting them angry enough to try to destroy all your items while you're wearing only artifacts, so that it has no effect. It's possible to effectively destroy artifacts by offering them as a sacrifice, but presumably the in-universe explanation to that is that they are just transported into your god's hoard.
In Mercenaries 2: World in Flames, the only things in the game world that the player cannot destroy are the terrain, things that have already been destroyed, and... wooden crates, which are inexplicably indestructible. Not even a nuclear bunker-buster can do more than knock these unassuming boxes around.
In the flash game Mike Shadow: I paid for it! , the vending machine you're trying to get your snack from is apparently invulnerable. Ranging from beating the crap out of it to summoning the finger of God, nothing can so much as scratch it.
Averting this was a selling-point of Future Tactics. Everything in that game, I mean everything, could be destroyed. Scenery could be blown up, holes blasted in the ground, you name it. It was possible to kill tougher enemies in some levels by blasting the ground beneath them and sending them falling to their deaths, and the levels could even be rendered Unwinnable by Insanity thanks to some diligence on the player's part.
In the SCP Foundation, a good portion of the objects are indestructible. To the point where the rules for submissions specifically point this out as a Dead Horse Trope.
The specific reasons here are two, one meta and one in-universe. The Foundation, in-universe, does not make it its mission to destroy SCPs. (That C? It stands for "Contain", as in "Secure, Contain, Protect". SCPs are Secured and Contained to Protect...well, everyone in the world.) You want to try the Global Occult Coalition for that. (There are exceptions, such as SCP-682, but 682 is...a special case.) The meta reason is that Decomissions do not happen anymore - bad SCPs don't get killed off in flashy ways, the article is simply removed if it falls under a certain rating (-8, usually), therefore reasonless indestructibility is pointless, because nothing can save an SCP from the site mods.
Magmatter from Orion's Arm is effectively impossible to damage. Not only does it have an incredibly high a binding energy but normal matter will pass right through it.
This trope is brought up in Freeman's Mind. Gordon goes ballistic (no pun intended) when he realizes the glass in all the doors is bulletproof for no apparent reason. He also comments on the seemingly random mixing of crowbar-proof and non-crowbar-proof grates. Oddly enough, he doesn't seem to consider it odd that the rocket test-fire blows up the crates of explosives but the two grenades that were sitting on top of them are still in one piece.
Helloween4545 tends to refer to everything in games that should realistically be damaged easily, but can not be destroyed by the player, as "made of Decentanium".
Averted in Futurama: The Beast With a Billion Backs, in which Farnsworth and Wernstrom both brag about their "indestructible" inventions: diamondium and diamondillium. Both are useless against Yivo. Played straight in that Yivo is made of electro-matter, which is impervious to anything from our universe.
Glock firearms standard test: build the prototype, drop it (unloaded) 3 stories, pick up gun, load, fire. If it fails to fire, redesign.
In fact all its good points are due to one aspect-Its simplicity. Because it's simple, it's easy to take apart and clean (if you ever need to anyways), it has large tolerances meaning you could hide one in a mud pile and come back for it 40 years later and it would still be usable.
On a similar note, the Russian counterpart of the American M4 Sherman, the T-34 tank. One was used by fleeing Nazis and driven into an Estonian bog, then abandoned. Discovered decades later and found with no corrosion, no leaks, and with a little bit of work (and mopping up the inside) it started. Russia takes this trope seriously.
Vickers .303 Machine Gun. When first presented to the British Army, they had to get special dispensation to use it without knowing how much punishment it could take and survive. Because when they ran a test firing run, the test facility ran out of ammunition. After three days.
This passage from a history of WW1 illustrates the point perfertly;
“The Vickers gun accompanied the BEF to France in 1914, and in the years that followed, proved itself to be the most reliable weapon on the battlefield, some of its feats of endurance entering military mythology. Perhaps the most incredible was the action by the 100th Company of the Machine Gun Corps at High Wood on 24 August 1916. This company had ten Vickers guns, and it was ordered to give sustained covering fire for 12 hours onto a selected area 2,000 yards away in order to prevent German troops forming up there for a counter-attack while a British attack was in progress. Two whole companies of infantrymen were allocated as carriers of ammunition, rations and water for the machine-gunners. Two men worked a belt-filling machine non-stop for 12 hours keeping up a supply of 250-round belts. One hundred new barrels were used up, and every drop of water in the neighbourhood, including the men’s drinking water and contents of the latrine buckets, went up in steam to keep the guns cool. And in that 12-hour period the ten guns fired a million rounds between them. One team fired 120,000 from one gun to win a five-franc prize offered to the highest-scoring gun. And at the end of that 12 hours, every gun was working perfectly and not one gun had broken down during the whole period. It was this absolute foolproof reliability which endeared the Vickers to every British soldier who ever fired one. It never broke down; it just kept on firing and came back for more. And that was why the Mark 1 Vickers gun was to remain the standard medium machine-gun from 1912 to 1968.”
In addition, you could use the heat of the gun to brew tea.
The classic Zippo lighter's basic design hasn't changed in almost eighty years, and it hasn't had to. Sure, torch-style butane lighters may look nifty, but leave one of those babies in your jacket and spin it through the wash or bounce it off a concrete floor and you'll have a nifty-looking paperweight. Zippo? Still works like new. The only thing the company won't guarantee is the finish, but they're so confident in the lighter's construction that everything else is covered by a perpetual warranty, regardless of how many owners its had or what caused the damage.
There is a reason why the Tonka Tough trope is named after the Tonka Mighty Dumptruck. They once had an elephant step on one, and the truck held the elephant's foot just fine, thanks.
It's become a Dead Horse Trope joke that if airliners were made out of the same thing flight recorders are made out of, they'd survive crashes. Of course this isn't really true, but people still think of 'Black Boxes' as being impossible to destroy. They're just steel: their strength is from their compact design more than material, and they're tucked away at the back where they're unlikely to take the brunt of a crash. Further, they often are found heavily, heavily damaged and require significant work to make them functional enough to get the recordings out of. All that needs to survive is the tapes, and even those are often damaged and valuable data is lost.
Design requirements for nuclear waste containers are impressive. They must survive a derailed train running into them and many other extreme scenarios. Good thing too, given this is cancer in a box. However, they may not survive extremely high temperature fires. Let's hope they are wrong about this. One thing they can't survive is time. The best designs might last 10,000 years if kept in a perfect environment, but that isn't even half way through the first half-life of most of the forms of waste they hold.
Flasks designed to carry used nuclear fuel for reprocessing are most definitely made of indestructium.
Western nuclear reactors are clearly intended to be as close to this trope as humanly possible. For example, they are designed to be able to survive someone flying an airliner into them.
Dave Barry believes that modern cars should be made out of the same material as Fisher-Price cars, as they are apparently unaffected by the destructive behavior of a four-year-old. Although this is a lot less impressive than it sounds, if one has ever had a 4-year-old leave a Fisher-Price toy car where it can be run over by an actual car, one will know that the real car wins.
Nintendo's video game systems are said to be "made of Nintendium". The Game Boy in the page image is an exemplar. The long list of durable Nintendo devices is on the Tonka Tough page.
Nerf foam is impervious to nearly all blunt attacks, and can't even be torn apart by hand, so it's really only vulnerable to some sort of cutting technique.
For most of human history, diamond has been effectively indestructible under the cutting tools available. No wonder that one of its oldest names, adamant, is the root for the names of some of fiction's most indestructible metals. On the other hand, that's a measure of its hardness, or the difficulty of scratching it. It's much easier to destroy through blunt impact, being fairly brittle.
Panasonic's Toughbook laptops have a indestructium casing (aka “magnesium alloy”) and also make for good bulletproofing.
A company called Pelican makes padded and very sturdy containers for various uses. One of their ads tells how a US Special Forces team in Iraq blew up a damaged helicopter to keep its contents from falling into enemy hands. They used two Maverick missiles, which can be tank-killers. A few days later, the team went back to the helicopter and found their Pelican-made case intact with only minor burns and a broken latch. Its contents (lots of sensitive electronics and a block of C-4 explosive) were unharmed. The ad sums up: "Frankly, we don't want to know what it would take." Also, Pelican's slogan is apparently, "You break it, we replace it...forever."
To drive that point home further, a similar incident involving a U.S. Federal Agent finding a Pelican brand crate from a car destroyed by a direct blast from an Improvised Explosive Device. Not as much as a scratch was found on the case considering the circumstances.
There seems to be a general consensus amongst guitarists that most Fender instruments and amplifiers will be around after the nuclear holocaust. From Keith Richards using one to defend Mick Jagger (Mind you both these men are probably also made of Indestructium.), To Pete Townshend, a man who's career has revolved around smashing guitars, not being able to consistently destroy them. How did the company founder go about showing how reliable his first guitar was in the 50's? He went to a trade show, placed it across two chairs, and proceeded to jump on a piece of wood about an inch and a half wide multiple times, repeatedly putting the full weight of a grown man on that tiny part. Then he picked it up, and it was in-tune. Hell, most of them even today have a completely user-dismantleable design so in the off chance you toss it in a volcano and something does break, it's an easy fix.
Nokia phones a notoriously tough to break, and have in fact done significant damage to anything they're thrown at without showing much more than a few scratches. They have achieved meme status as a result.
Those plastic sheaths that most small electronics are packaged in nowadays might as well be forcefields. Hope you have an acetylene torch handy next time you need a USB key!
They're referred to as "clam shells" due to the general design: plastic mold folds shut like a clam shell, then is sealed tight. They also sell "openers" for these hellish devices, which are effectively razor or exact-o blades in a safe holder. These products are often packaged in a clam shell.
Chrysler's Imperial division in The Sixties built cars bordering on this. Imperials have been banned from demolition derbys because they're an example of this.
As are Classic Chevies. Especially the '57 Chevrolet is known as its extreme durability. Many of those are still today, after over fifty years, in pristine condition.
There are several examples of GoPro cameras falling off of skydivers during freefall, surviving the landing, and continuing to film the whole time.