In one issue of the comic Gold Digger, the character of Stripe is repeatedly hit by various painful booby traps in an old temple. Due to his relative ability to take damage, he is merely put in increasing levels of Instant Bandages. (At one point, they forget to give him a hole to breathe through!) His wife Brittany, a werecheetah who can bench press Mack trucks, gets a little angry when she finds out.
Wolverine occasionally comes in for this, thanks to his Mutant Healing Factor (TM).
One of the more notable examples was a pitch-black parody about chainsaw-wielding midget mafiosi that culminated in the Punisher parking a steamroller on top of Wolverine.
In Marvel Ultimate Team-Up, Spider-Man rescues a severely injured Wolverine and recommends a hospital, only for Wolvie to brush him off and heal up almost instantly, resulting the hilarious line, "Oh my god I think I'm going to throw up in my mask."
Deadpool took more punishment in funny, amusing or plain crazy ways and he is still wise-cracking.
He also does this to poor Mr Immortal of the Great Lakes Avengers. So does almost everyone who they face off against, and this is on top of his own death wish, which is played for amusement.
Basile always gets hurt in Léonard le Génie, either because of his clumsiness or his master's sadism.
Deconstructed in the horror comic Dylan Dog. In one issue, a Roger Rabbit expy came to the real world from cartoonland. Carnage ensued, since his amusing slapstick violence actually killed people, but he wasn't aware of things such as permanent injuries and death. It was actually kinda creepy.
The Mask also deconstructed this as part of its central premise. The titular mask turns its wearer into a living cartoon character capable of doling out classic cartoon stuff like Torso with a View, Squashed Flat and what have you, the only catch is that the unfortunate recipients are still regular humans, who are gorily and messily killed as a result.
The Disney Comics are rife with this. Characters can be blown up, dropped from buildings, electrocuted, attacked by dogs, whatever, but actually sustain long-term injuries let alone killed? Not unless the plot specifically requires it, like the Phantom Blot's numerous Death Traps, which are played menacingly straight as being very lethal (of course, Mickey always escapes somehow). Even if someone (usually Donald) ends up as a Bandage Mummy at the end, he's perfectly fine by the next story.