Whoever was peddling that "true strength comes from within" crap might have had a point...
Karalau and Tamaki in Aquapazza have it. One is a warrior who carries a BFS, the other is a schoolgirl who can do lots of German Suplexes.
In Astal, the title character punches a hole in the ocean floor during the opening sequence, and in-game does things like picking up and throwing trees.
This is a basic power that the 8 Guardian Generals in Asura's Wrath have. The degree of how much it is depends on the general. Augus, Yasha, Asura, and Deus are shown to be physically the strongest, able to punch through legions of multi Kilometer Sized Gohma like wet tissue paper. Asura follows The Incredible Hulk principle of getting stronger as he gets angrier.
Minsc:The bars! They bend and twist with my berserker strength! Minsc and Boo are free!
Despite being unnaturallyslender, Bayonetta displays a supernatural physical strength, particularly in cutscenes, doing things like throwing an entire church at a gigantic angel and casually holding up a trolley car with one arm before tossing it several hundred feet into the air.
Strength is an option in many Bethesda games, in the Fallout games it's a special skill you can raise and lower at the start, a high Strength skill means better carry weight capacity, heavy weapons handling and melee weapons and unarmed skill. By level 30 you can punch people apart with just your fists if youre level 100 unarmed.
Strength even sometimes gives you special speech options where you inform someone how boss you are, especially in New Vegas where the "The Terrifying Presence" perk which can send whole mobs cowering.
Doc Mitchell has some choice words if you make yourself a powerhouse.
"Surprised anybody'd want to tangle with you. Heck, you could go Deathclaw hunting with a switch".
The Super Mutants in Fallout are essentially an army of Incredible Hulks packing firepower and their strength can be a pain in the ass when your a lower level and the Super Mutant Behemoth are a threat no matter how high level you are. Deathclaws also have superior strength given how easily they can rip you to shreds in about three or two swipes.
The Giants in The Elder Scrolls V: Skyrim deserve a special mention as their club attack can send you and your companions ''into orbit''◊. This wasn't intentional and was a glitch but Bethesda liked it so much it stayed in the game.
The Bizarre Adventures of Woodruff and the Schnibble: Woodruff gets this power once you make the Strength Formula. It also seems to be permanent, as Woodruff doesn't need to repeat the Formula each time he needs to use this power, as he needs to do with all other Formulas.
In the factory level in 2300 AD, Robo holds a steel security door that must weigh several tons open.
Ayla can easily toss enemies larger than herself several meters up into the air.
In a combination technique, Ayla and Robo bat enemies larger than themselves back and forth like a baseball.
In another combination technique with Marle, Ayla hits the enemy with a chunk of ice that is at least five times her own size.
City of Heroes had this as a possible powerset for Brutes and Tankers, as well as implied super strength in the Titan Weapons powerset, as some of the weapons looked like they were ripped out of the ground.
Similarly, Champions Online has the Might framework, with many super strength powers (including several that are the same as City of Heroes — two-handed strikes, a hand clap, an uppercut, and even Rage-based mechanics).
Strangely averted by DC Universe Online, where strength (super or otherwise) only affects what you can lift. There's no full super-strength powerset, despite being set in the same universe as the most well-knownFlying Brick of all. Though, in the game's defense, pretty much every Exobyte-powered Hero or Villain has enough of it to lob a dumpster most of a city block, and taking it as an Iconic power just means you can do that with, you know, a transit bus or dump truck. Not to mention the fact all of said heroes and villains can physically hit hard enough barehanded to tear apart Mooks in Power Armor or the various Brainiac/OMAC/Whatever drones even WITHOUT said iconic. And of course there's the Brawling weapon style...
Dante's Inferno: Dante can grapple with and overpower demons, break chains, and topple buildings.
In Devil May Cry the standard ability of all demons is superior strength, though there are standouts.
Sven the Rogue Knight in Dota 2. He's extremely strong that his skill set includes: Throwing a magically enhanced gauntlet so strongly that the magical properties get ignored that the enemies in the area where it landed gets stunned; swinging his sword so strongly everyone nearby gets damaged with a big percentage of his strength, yelling so hard everyone gets a boost of speed and toughness, and ultimately, his God's Strength pumps up his already absurd strength to even more godlike levels, it's not that rare to see Sven whacking his enemies to death with his strength and bigass sword.
Ike from Fire Emblem: Path of Radiance holds a two handed sword with only one hand, can jump absurdly high and has shown to rival Zelgius in power, someone who can choke a grown-up with ease.
Dimitri from Fire Emblem: Three Houses wields massive lancers taller than himself and has the highest strength growth in the game. In-Universe Dimitri's strength interferes with day to day tasks, as when he asked his friend Mercedes to teach him needlework, he managed to break a pair of scissors and as a child he used snap swords while training with his best friend Felix.
Kratos from God of War can rip people in half, knock pillars over, and go toe-to-toe with various monsters and gods. Justified because he is Zeus' son. In God of War II after becoming a god proper, Kratos gains greater Super Strength as his core power; it takes time for him to build force, but no sliding door can stand in his way, given a few minutes and his BARE HANDS. By the time of God of War III Kratos is strong enough to rip a god's head off and kill the entire Greek Pantheon. Even when older in God of War (PS4) the first thing Kratos does in game is lift a whole tree over his shoulder. Later on in the same game, Kratos and the Stranger aka Baldur during a Brawler Lock make very terrain split beneath their feet.
King Dedede'shammer weighs close to a ton according to Snake in Super Smash Bros. Brawl, but he can run and jump with it like it was nothing. In Kirby Super Star Ultra he mechanizes it into an even larger form, then there's his appearance in Kirby: Triple Deluxe in which he tears a decorative ax off the wall that is three times longer than he is tall and wields that.
Ganondorf is not only a very dangerous magic user but also extremely physically powerful especially in his Ganon form. His feats include breaking free from heavy chains, destroying the floor of his throne room with one punch, destroying pillars which require the most powerful weapons for it to destroy with ease, dual wielding huge swords, breaking free from a giant castle rubble and many more to list. Triforce of Power everyone.
Done subtly in Mass Effect 2 with Commander Shepard, who is rebuilt with extensive cybernetic upgrades. The super strength isn't obvious, but Shepard is shown to be capable of wielding weapons that would be impossible for normal humans to use, i.e. a shotgun that would break normal humans' arms or carrying an antitank rifle that normally can only be fired while prone (or used by geth). Shepard can also lift and push aside heavy steel girders or debris, can punch out krogan soldiers in hand-to-hand combat, knock out fully-armored soldiers with his/her bare fists in the Arrival DLC, and take on the Shadow Broker in hand-to-hand combat (the Shadow Broker being a three meter tall alien massing several times that of a normal human).
Several characters from Mega Man (Classic), most of which are ground type. Arguably the most obvious example being "Guts Man", who can pick up boulders as if they were pebbles and throw them with extreme force. Mega Man himself can hold up a 60,000 ton tower and lift cars in the Archie Comics.
Solid Snake likely due to being a clone is incredibly strong, in Solid he can snap a man's neck with one arm as well as beating his equally super-strong brother◊ Liquid in a fist fight. Most impressively in MGS4 he can wield the massive the Rail Gun◊ which is like wielding a portable tank cannon and Snake easily uses it to destroy the entire Suicide GEKKO squad, despite being an old man.
Raiden from MGS4 onwards is ridiculously strong thanks to his cybernetic upgrades, in said game he beats a dozen Geckos by swinging one around with his mouth. Later he holds backs the entire titanic Outer Heaven Battleship by himself giving Snake enough time to escape though he loses both arms as a result, if that wasn't enough he then appears later still armless and fights off Haven Troops with just his sword clutched between his teeth. Metal Gear Rising: Revengeance takes this even further as in the very first level, Raiden picks up Metal Gear RAY (which weighs over one thousand tons) and throws it over several buildings and then slices it head to toe like it's butter. In the final level while fighting Armstrong, he liftsthe even bigger Metal Gear EXCELSUS throws it down and then tears off it's blade-legs off and swings it around at high speeds. It's safe to say Raiden is likely the strongest individual in the Metal Gear franchise.
The only two people who have matched or defeated Raiden in Revengeance are "Jet Stream" Sam and Senator Armstrong. Sam in the first level effortlessly overpowers Raiden with his own sword skill and cuts his cybernetic arm off and in his own DLC he destroys a RAY with the same ease that Raiden did and you know what's the real kicker? He isn't a cyborg which makes his previous victory over Raiden and slicing a Ray all the more impressive.
Senator Armstrong made himself super human by injecting his bloodstream full of Nanomachines making his skin near indestructible note even when he is cut apart he can just put his limbs back together as well as giving him superhuman strength, in the DLC he beats Sam with only moderate effort and in the main game he beats the crap out of Raiden who just overpowered his massive MG EXCELSUS. Armstrong even catches Raiden's high frequency blade (which can separate atoms) and snaps it like a twig, Raiden only won the battle thanks to Blade Wolf bringing Sam's superior Katana to him.
Mr. Shifty can open holes in brick walls with his fists. Lampshaded by Chairman Stone when you use it to break out of your jail cell.
James, Rico and Captain Cori from Papa Louie 2 are capable of pushing boulders around. Special mention to Captain Cori, whose weapon is an anchor.
The Gargantuar from Plants vs. Zombies uses a telephone pole, road crossing sign or another zombie as a club to smash your plants with. Sure, all of its weapons are smaller than it, but have you ever tried pulling a telephone pole or sign out of the ground... or for that matter, wielding somebody else using one hand? Not only that but if you fail to find any brains during a "Brain Ball", the newspaper clearly shows it holding up an entire house looking for brains.
Fighting Pokémon in general are pretty strong, but Regigigas can move the entire continents of the world using a rope.
Pokemon with the Huge Power ability count as this (such as Azumarill, Diggersby, and Mega Mawile), as the ability DOUBLES their Attack stat, making weak Pokemon great and great Pokemon destructive powerhouses.
Alex Mercer in [PROTOTYPE] is the size of an average human, but can lift a car over his head and chuck it like a baseball. At maximum upgrade with Musclemass, he can throw one at least a city block if not more. The same goes for the destroyed shells of tanks and helicopters.
Mr. Sandman from Punch-Out!! doesn't need a wrecking ball to demolish a brick building. He's strong enough to destroy it with his bare hands! Plus, he can curl the ring ropes as if they were strings. By being able to defeat that monster, Little Mac has this by de facto.
Jake Muller from RE6 may give Chris and Leon a run for their money when it comes to strength, especially since his gameplay focuses on melee more than gunplay. Jake can not only rip B.O.Ws apart with his combos, but even the aforementioned massive Ustanak was brought down by Jake barehanded. It is justified given Jake is Wesker's illegitimate son and inherited his enhanced physiology from him.
Sonic is known best for his Super Speed, but he's also capable of sending cars flying like footballs.
This is Knuckles' main ability. Capable of shattering boulders ten times bigger than him with his fists, he's said to be as strong as Sonic is fast.
The Skylanders giants are more then capable of throwing boulders across maps and shattering walls that normal Skylanders can't without bombs. If that isn't enough info, try the feats of strength events on for size.
The only giant who doesn't use brute force when doing most of the above is Ninjini, who instead uses the Mind over Matter technique.
While not as remarkable even compared to the other females, Ibuki deserves some credit with her Yamikazura forward throw. While she is only 5'3, she has been able to hip toss giant metal robots, obese men, and even Gill, the final boss of the "III" series who weighs 644 pounds more than her.
Yoshi is able to lift and throw eggs several times larger than his entire body in Yoshi's New Island with ease, and similarly can move snowballs even larger than the aforementioned eggs in Yoshi's Woolly World.
Even Princess Peach the unrivaled Damsel in Distress can kick a soccer ball in three halfs in Mario Strikers this much force requires easily over 2,300 newtons of force, enough to completely smash the human skull.
"Sasha", the minigun of the Heavy Weapons Guy from Team Fortress 2, is said to weigh 150 kilograms (a bit over 330 pounds), but he has no problems lifting it. Or running around with it as long as he isn't spinning up or firing it. He also dishes out the same melee damage with his bare hands that the other characters need bats, wrenches, shovels, and huge knives to deliver, and in one of his taunt animations, he effortlessly spins his holdout weapon, a 12-gauge shotgun, like it was a pistol.
Lara Croft from Tomb Raider is able to push around blocks of solid rock measuring roughly 2 meters per side, which puts them at a weight of about 20 metric tonnes.
Byakuren Hijiri from Touhou Project specializes herself in magic that augments her own physical abilities, which allegedly grants her super strength, among other useful powers such as Super Speed. One of her spellcards is aptly named 'Superhuman "Byakuren Hijiri"'.
Others characters with super strength are Suika Ibuki, who is capable of tearing down a whole mountain on herself; Yuugi Hoshiguma, a.k.a. Yuugi the Strong, who is probably even stronger than Suika; and the two Scarlet Sisters (Vampires are in Touhou canon stated to be as strong as Oni and as fastas Tengu).
In The Witcher 3: Wild Hunt, Geralt of Rivia can cleave a fully-armoured man clean in half with a single strike from an ordinary steel sword. Witchers like him are Super Soldiers created through magic and alchemy to fight monsters that are too mighty for regular humans to handle.