In one two-part episode, he miraculously popped back into existence in the first few seconds of the second episode without comment.
Later in the series, it's deconstructed when Kenny reveals he remembers every death. Every single one.
In the episode "Die, Hippie, Die", Mayor McDaniels shoots herself in the head, and appears in a later scene alive and well with a bandage around the affected area.
Looney Tunes has a lot of these: Daffy Duck in the course of his career was riddled with countless bullets usually only ending up bare and sooty with a humorously displaced beak. However, near the end of the 1953 short "Duck! Rabbit, Duck!", after getting shot in the face for the sixth time by Elmer Fudd, he finally snaps.
Daffy: Shoot me again! I enjoy it! I love the smell of burnt feathers, and gunpowder, and cordite! I'm an elk! Shoot me, go on! It's elk season! I'm a fiddler crab! Why don't you shoot me?! It's fiddler crab season!!!
However, not even Daffy can equal the sheer amount and variety of the (highly) amusing injuries inflicted on one Wile E. Coyote (SUPER-genius). Over the years, the hapless hunter has been on the receiving end of everything from catapults to earthquake pills and all possible variations of falling off of a cliff.
Lampshaded in Darkwing Duck. In one episode when the plot involves a movie theater, Darkwing is hit by a heavy object and explains: "See the difference. A Movie figure would stand up and be okay now. I, on the other hand, am seriously hurt..." Funny because he actually behaves pretty much like those "movie figures" - and in this episode is OK 10 seconds later.
And we can't forget the scene that used to be pictured on the trope's main page: "Put out the Darkwing! Put out the Darkwing!" Actually, this happens a lot to EVERYBODY in that show.
Subverted in an episode of Family Guy where we see Elmer shoot Bugs Bunny down dead then snap his neck as he lies in a pile of bloody, mangled flesh.
The series also has a habit of pausing the show to have characters provide drawn-out reaction to Amusing Injuries the way a real person would, invariably turning into an Overly Long Gag.
During Stewie's "Fantastic Voyage" Plot, he shot Peter in the duodenum to distract him. Peter's reaction: "Oh god my duodenum!" and running into the bathroom. Funny mostly because Peter probably doesn't even know what a duodenum is.
Every episode of Drawn Together has at least one character getting a comically horrific injury, only to appear fine in the next scene (though sometimes, the characters remain this way for the remainder of the episode). There is not enough room on this page to list all of the injuries that the characters have gone through.
Futurama has this happen on a regular basis, particularly to Fry. Dismemberment, impalement, decapitation. Of course they can keep a severed head alive in a jar and it's apparently trivial to reattach or replace something. I.e. this one time Fry's hands were bitten off by a T. rex and the next scene has him walking out of "Handcrafters: New Hands in an Hour".
The Simpsons: Played straight in S2 "Bart the Daredevil" in which Homer falls down a cliff, hitting nearly every rock on the way down, only to land on the ground bleeding and with serious injury. He hits his head repeatedly while being hauled back up. Then the ambulance crashes. Then his gurney rolls out and falls down the gorge again.
A later episode (the "Reality Show" one in season 11, titled "Behind the Laughter") jokes that he was in remission for a long time and became addicted to painkillers, which is what allowed him to perform the "bone-shattering physical comedy that made the show famous".
Mocked, like everything else, in "The Onion" headline: Live-Action Simpsons movie on hold after 11th Homer stuntman dies.
The episode "A Star is Burns" parodies this trope as a video of a man getting hit in the groin by a football wins much praise at the film festival (twice).
Played with in Transformers Animated; while the main characters themselves are subjected to realistic injuries, disposable household robots are frequently seen blown up or decapitated with hilarious results. There's also the "Starscream Death Montage".
In fact, pretty much every time there's a robot on an animated show, they'll have at least one time where they'll have parts ripped or blown off, usually with the separate limbs running about by themselves. Beast Wars did this a lot as well, especially with Waspinator.
Waspinator has had to use this to reassemble himself on multiple occasions, because his position as Cannon Fodder and the knowledge that he'll do it meant that no one could really be bother to gather up the bits, and Megatron even thought it was a waste of effort to order someone to.
Waspinator: Inferno blow up, Waspinator must salvage. Waspinator blow up, nobody salvage. Why universe hate Waspinator?
Averted with Blurr's murder. Word of God says his body was crushed into a cube, but his "spark" (a TF's soul) was still alive inside.Then the cube was thrown into a garbage incinerator.
He's fine, Cliffjumper pulled him from the trash in the comics.
Animation historian Michael Barrier argued in one book that some of the violence in the very early T&Js was a little unsettling, precisely because the character designs and animation were too realistic. As the '40s progressed into the '50s and the designs became flatter and more stylized (following the lead of Tex Avery, who headed a different MGM cartoon unit), the violence got funnier and more "cartoony".
One cartoon actually showed the effects of different injuries Tom subjected to, as he accumulates more bandages through the story. Including a toupee' to hide the fact he'd earlier blown the top of his scalp off with a shotgun.
Beavis And Butthead started out giving the characters gruesome and realistic injuries (missing teeth, heavy bleeding) and playing it for laughs by Snap Back before switching to a more lighthearted approach of just making them bruised or knocked silly by things 10 times worse than had previously harmed them.
Phineas and Ferb is a fairly standard example of this, lampshaded in "S'winter". Phineas, Ferb, and Candace are all riding on a snowboard and they crash into a snowman. Candace (on the back of the board) is the only one to hit it, and Phineas asks Ferb "How did we miss that?" Then they hit a tree, or rather, Candace does. Phineas remarks "Now that's just weird." This also highlights Candace's status as the show's Butt-Monkey. The majority of the show's cast never ends up as fodder for this trope, (unless it would be funnier), but it's about Once an Episode for Candace and Dr. Doofenshmirtz.
Ferb is also fodder for this trope. He is specifically thrown around in "Chronicles of Meap", and "One Good Scare Ought to Do It". His mental state is the main target; likely because it's typically unalterable.
Parodied in one episode. After Doofenshmirtz gets a new nemesis, the episode treats this like a break-up, complete with Perry and Doofenshmirtz appearing on a parody of Dr. Phil. Doofenshmirtz promises to hurt Perry "the right way: with cartoonish violence and hair-brained schemes."
In another, Perry is busy dealing with another crisis, so Doofenshmirtz decides to gloat to "Planty the Potted Plant", an actual potted plant with a tiny hat on it. Somehow, the plant beats Doofenshmirtz and wrecks his lair, and is officially hired by Monogram at the end of the episode.
The toon in the vivisection parts of Monkey Dust has the standard cartoonish Amusing Injuries, then it gets subverted when he drops an anvil on the (less-toonish) doctor's head. It's not pretty.
Ruby Gloom does this too. Misery, one of the main characters is always hit by lightning, only to say "ouch" and come back 10 seconds later in best shape.
Inverted in one episode, where Misery isn't hurt at all. The other characters are getting hurt instead
League of Super Evil does this almost constantly with Doktor Frogg. Wether it's being crushed by giant doors, or eaten by Doomageddon. Then again he is the resident Chew Toy. So it's expected of him.
The Ren & Stimpy Show is full of this, frequent things that happen include large veiny bumps appear after getting hit on the head, skin would get sucked or ripped off, getting run over or smashed with a large object would reduce them to a puddle, sometimes a blow to the face would knock teeth out or make them shatter like glass, knock a brain out of the head, and leave an eyeball hanging out of the socket.
SpongeBob SquarePants adores this trope, especially in the newer episodes. "The Krusty Krushers" is possibly 10 minutes of little more than Amusing Injuries and SpongeBob style gags.
And of course, there's the ever-popular "MY LEG!", predominantly from the earlier seasons.
The Fairly Oddparents makes use of This. Timmy has fallen of cliffs, been mauled by dogs, and had several other potentially fatal things happen to him. And yet, he can take it. Mind, his Fairy God Parents have raised the dead at least once.
Henry off KaBlam! goes through A LOT. Falling off cliffs, melting, having extremely heavy objects fall on him, getting beat up by a sasquatch (or an angry little girl), almost getting attacked by a black widow, however he's fine by the next episode (or after the next cartoon short). God, I feel sorry for this kid.
Being a zombie, Randall in Ugly Americans seems to perform this trope nicely. The really amusing part is, like the robot example above, it seems in this universe separate body parts retain their individuality. Which is then lampshaded by his mistreatment of his penis resulting in it ripping itself off his body and running away, the final straw having been a one-night stand with an Eldritch Abomination he picks up at a movie theatre. In the first season finale he's carried around missing his lower torso for most of the episode.
Superjail! follows the Happy Tree Friends train of thought. Make it as realistic as possible for maximum comedy value. Ditto The Venture Bros.. (Dean and Hank learning about real death when Race Bannon dies in front of them with Brock lecturing them on it.)
Another interesting example from The Venture Bros., though an aversion, many villains, but especially 21 and 24, seem to derive a particularly morbid enjoyment from pondering the potential injuries Brock Samson is about to inflict upon someone. Provided they aren't the intended target, of course.
Invader Zim makes constant use of this trope. Zim has been mauled by rabid dogs, hit with at least four dozen dodgeballs simultaneously, injured his squeedlyspooch multiple times, and has been burned by meat and contaminated water, which apparently he is vulnerable too.
Spliced has a lot of amusing injuries. The most common case is a character getting thrown into a volcano, but there are plenty of other examples as well.
While pain being inflicted on pretty much any human is regularly played for comedy in How to Train Your Dragon and the series Dragons: Riders of Berk, the most regular victim has to be Bork the Very Very Unlucky from the Book of Dragons short, whose entire on-screen time was spent being burned, bludgeoned, beaten, bombarded, buzzsawed, and otherwise brutalised.
Rocko's Modern Life is full of this, most of them happening to the main character, Rocko the Wallaby.
Oggy and the Cockroaches: DEAR LORD, to say that the injuries of the characters are amusing is an understatement. This is Tom And Jerry Up to Eleven, and by GOD, is that saying something to trump Happy Tree Friends.
In Pat and Mat there is no violence, except to common sense, but with the amount of Face Plants they do and things falling on their heads (totally their fault) it's a wonder these two are still alive.