"Nobody stays dead except Bucky, Uncle Ben, and Jason Todd." Since that saying was coined, both Bucky and Jason Todd have found themselves resurrected. But Uncle Ben has dutifully remained dead, to the point that when a Ben from an alternate universe found his way into the regular Marvel Universe, he ended up dying by the end of the story himself. Though, during the Spider-Verse event, another Ben appeared but he was resident in another universe and was the Spider-Man there, so it probably does not count.
For this reason, all the below must come with the caveat "at time of writing."
Over time, the Marvel Universe likes to have characters come back to whatever their "core character concept" is. Magneto will be a mutant with control over magnetism, believing that mutants must rise to overcome human rule. Professor X will be a man with incredible mental powers yet bound to a wheelchair. Spider-Man will be a character haunted by Uncle Ben's death, that event propelling him to be a hero. Whenever they stray from these "core concepts," it's not long before writers find plot reasons to make them fit those archetypes again. Uncle Ben's death is part of Spider-Man's core archetype, and because of that, he'll stay dead for real.
Marvel's Ultimate Universe used to follow this rule. Every character who died was killed off for real, even main characters like Wolverine.
It is still regarded as the prime example of "Dead means Dead," if you don't count Hammerhead, the Green Goblin (twice), Gwen Stacy, Doctor Doom, Mr. Fantastic, Thor, Iron Man, Valkyrie, Electro, Spider-Man, ...
Played with in The All-New Atom where, searching for Ray Palmer, the heroes find themselves in what appears to be heaven and are greeted by the spirit of former Blue Beetle Ted Kord. Ted lampshades the uneven reversibility of comics death, lamenting that he and Batman's parents are the "only people with a permanent parking spot" in the afterlife. (It turns out not really to be heaven, in fact, and not really to be Ted, but the dude (five years dead now and counting!) has a point.) Since the entire DC Universe has been rebooted since, that particular version of the character is highly unlikely to return to life, as opposed to being replaced with an alternate version. (The alternate Ted is eventually introduced at the end of Forever Evil, several years younger than the original and not yet involved in superheroics.)
In Archie Comics' Sonic the Hedgehog the Doctor Robotnik of Sonic's universe was killed off in the 50th issue, and eventually replaced with one from a parallel world.
This was originally going to happen to Sally Acorn in issue #47 titled Endgame. However, Sega stepped in and averted this decision, for they saw some value in her.
The only named character confirmed to have died onscreen throughout the course of The Bad Eggs is Furman the Proto-Human. Everyone else, even Jumbo Johnson (whose head was crushed in the same issue Furman died in, no less), tends to recovery from their injuries.
Sarah Essen-Gordon, Commissioner Gordon's second wife, has, remarkably, remained dead ever since being murdered by The Joker in Batman: No Man's Land. At least so far.
When Lord Snooty the Third appeared in The Beano in 2008 it was heavily implied that the older Lord Snooty (an older Beano character dating back to the 1930s but last appeared in 2005) had been killed off for real. The older Lord Snooty had previously been dropped from the comic and reappeared a number of times before 2008 when his death was revealed.
In Dreamkeepers, Paige is killed off by a nightmare looking for the main character, Mace (who is then blamed for it). The room is completely covered in gore when he finds her. The creators have explicitly said that no character would come back from the dead.
Peter David, in his book, Writing for Comics, said that the best way to have a character killed is in a very deliberate, human way. His example: In Fallen Angel, a key character was shot six times in the head and then kicked off a building. He got letters asking if that character was really dead. If he'd been magicked off into a dark dimension, he'd be back to life. No questions asked.
About one fourth of Fallen Angel's cast has been killed throughout the duration of the series. To wit: Shadow Boxer, Dr. Juris, Slate, Malachi, Wilde & Moloch/Jubal have all kicked the bucket.
The Flash: Barry Allen had a long and prestigious run on this list (for a popular comic book character), in part because he was given a really good death, reversing that death would have undone the heroes' efforts to save the universe, and fans eventually embraced his successor Wally West even if they still wanted Barry back. But 23 years and two mega-crises later, Barry finally subverted this trope, though he was skirting the Came Back Wrong trope for a while.
G.I. Joe: Several of the G.I. Joes have been Killed Off for Real over the years. And not just ones created for the comic book, like Mangler. Those with actual figures. The most notably would probably be Lady Jaye, who was killed by Dela Eden, member of the Red Shadows.
In the Hellboy miniseries "The Fury", Hellboy meets his end when Nimue pierces his chest and tears his heart out, resulting in his death. Mignola has stated he intended to kill Hellboy off for a long time, and that he has no plans to bring him back to life anytime soon. This does not mean Hellboy is gone - it is said the series will continue, although the difference is we will see Hellboy acting within his new home: Hell.
Most of the cast of Garth Ennis' Hitman series, including the titular character himself, "Hitman" Tommy Monaghan, die by the end of the 60-issue run, and since that was one of Ennis' babies, it seems doubtful anyone will ever be allowed to resurrect them. In fact, compared with the rest of the DC universe, Hitman's Gotham seems almost like some kind of parallel universe where death actually means something.
The Legion of Super-Heroes are somewhat known for this, dating all the way back to the Silver Age when death in comics was still a very rare thing. Their Loads and Loads of Characters and relatively self-contained universe make it easier to manage the occasional permanent death...though they're also rebooted often enough that even if a character is really-truly-we-mean-it dead in one continuity, they're likely to get another chance in the next.
Fireball, one of the New Crusaders, had been killed by a supervillain dubbed the Eraser.
In Neil Gaiman's The Sandman the main character, Morpheus, dies. Although a successor is raised/created who looks and acts a lot like Morpheus, it is explicitly stated that while this person is Dream, he is not Morpheus. In fact, though occasionally we see ghosts and spirits, everyone who actually dies in Sandman stays dead, courtesy of Dream's older sister.
The Sentry, Marvel's SupermanExpy with more power and psychological problems than is good for him, was killed after his human identity begged a supercharged Thor to kill him before the Void regained control. Considering how much crap the guy has gone through over the years, it's hard not to feel sorry for him. Thor dropped him into the Sun, but he can resurrect himself at will, so it's doubtful if it will stick. It did, but he was brought back as a Horseman of Death by the Apocalypse Twins. No word on whether the Void's back as well.
Former Daily Bugle reporter Ned Leeds is definitely dead. The Hobgoblin, who wanted to retire, brainwashed him into thinking he was the Hobgoblin, and he was killed by assassins who thought so, too. The guy who had him killed, Jason Macendale, is also definitely dead. He took over the Hobgoblin identity, made a complete hash of it, and ended up being reduced to a smoking skeleton in his jail cell by the genuine article.
If you don't count her clone or her lookalike daughter, Gwen Stacy is, miraculously, still dead... in the main Marvel timeline. Gwen is alive in a number of other timelines, most notably the Spider-Gwen one. Also, a lot of people saw Peter Parker's later love-interest Carlie Cooper as a Gwen Stacy expy, especially after Joe Quesada admitted that he had to be talked out of bringing Gwen back during One More Day.
The original Supergirl was killed by the Anti-Monitor in Crisis on Infinite Earths and erased from History and memory because DC wanted that Superman was the only Kryptonian alive. She remained dead and forgotten for three decades until Convergence finally subverted the trope and undid her death.
Lesla-Lar -her first villain- was disintegrated with her own weapon. Notable because it happened during the Silver Age, when villains dying was a rare thing. She returned -eighteen years later- when her floating consciousness tried to steal Supergirl's body, but she failed and was dispersed on the astral plane.
In Demon Spawn, Supergirl fights Nightflame, a villain who embodied her dark side. Kara hurled her into one of her magical constructs, Nightflame dissolved and never again showed up.
In a move that surprised those who were still reading it, Master Splinter was killed off from old age in Volume 4 of the Mirage Teenage Mutant Ninja Turtles comic—perhaps the highest point in that volume of the series. The Shredder and Baxter Stockman—unquestionably the franchise's most prominent antagonists—are also dead.
As of the start of The Umbrella Academy, The Horror is dead, and will stay dead for the time being. While it hasn't been stated how he died, the only thing that reminds us he's dead is the statue that is (or was, as of the end of The Apocalypse Suite) on the garden outside the mansion. The preview story, however, shows him alive and well, fighting alongside his siblings.
In Witchblade quite a few characters have been killed off for real: Tora No Shi, Kenneth Irons, Jake McCarthy, Julie Pezzini, The Curator/The Survivor, Katarina Godliffe.
Wolverine, one of the most popular characters in the Marvel Universe, got killed off in X-Men Forever. All that remained was a metal skeleton, and to further prove that he's dead, he was connected to Jean Grey at the time. It's worth noting, though, that this whole series is essentially a What If?.
He got killed off for real in the appropriately titled miniseries "Death of Wolverine", and stayed dead, and since the universe itself was destroyed during the incursion, it will probably stay that way.
Zenith (2000AD series): Apart from Lux and Spook, who faked their own deaths (unintentionally, in the case of Spook), Dr. Beat/Warhead (alive in name only) and the conflict in the final phase (all of which took place inside the cosmos-mimicing entity Chimera) all of the many character and background deaths in the series were for real.
Kobra, a longtime Big Bad in The DCU, seems to have been Killed Off For Real (having your heart ripped clean out of your chest by Black Adam will do that). However, since his minions recently resurrected his brother (who was killed off waaaaaaay back in 1978) to become the new head of their Religion of Evil, all bets are off.
Special mention must be made to Donald "Don" Hall, the original Dove of the Hawk and Dove duo. Having perished in a Taking the BulletHeroic Sacrifice in Crisis on Infinite Earths, it was almost 25 years later that Blackest Night itself had many other characters who Came Back Wrong (and the above who were brought back) - as it turns out, Don was unable to be forced back despite pretty much nobody else being immune, so despite pretty much every other dead (or formerly dead) hero becoming a Black Lantern and/or being revived, he stayed fully dead. It was later established via Word of God that this is because his soul is "more at peace" than pretty much anyone else in the universe, so he cannot be forced back to the world of the living; even with the reboot that came post-Flashpoint, Don is still canonically dead and his successor Dawn Granger remains in the mantle of Dove - even with many other deaths and such given a Retcon (in fact, his brother Hank was revived during Blackest Night/Brightest Day and replaced his own successor, Holly Granger). This is especially notable since most adaptations have featured Don instead of Dawn as Hank's partner, yet the writers have seemingly never even considered bring him Back from the Dead, giving him 30 years (as of 2016) being deceased, an impressive run even for a B-List superhero.
Marvel's Captain Marvel (Mar-Vell), Captain Marvel (Genis-Vell), Scarlet Spider (Ben Reilly), Banshee (Sean Cassidy), Thunderbird (John Proudstar), Mastermind (Jason Wyngarde), Unus (Angelo Unuscione), Abomination (Emil Blonsky), Baron Heinrich Zemo, George Stacy, Synch (Everett Thomas), Destiny (Irene Adler), Hornet (Eddie McDonough), Goliath (Bill Foster), Iron Monger (Obadiah Stane), Jean DeWolff, Karen Page, Lilandra Neramani, Microbe (Zachary Smith Jr.), Pyro (St. John Allerdyce), Robert Kelly, Moira MacTaggert, and Kayla Silverfox are all, at the moment, very much dead, among others… although Banshee has been brought back as a Horseman of Death by the Apocalypse Twins.