I've lost track how many times I've answered this question on my internet journeys, but, here they are again, back and the list is bigger than ever, mostly thanks to my computer animation teacher at RISD introducing us to many many more films and stuffola:
Computer- The Incredibles, Shark Tale, Monsters Inc., Shrek 1/2, Ice Age
Traditional- The Lion King, The Emperor's New Groove, Brother Bear, Tarzan, Robin Hood, The Rescuers+ Rescuers Down Under, The Great Mouse Detective, Oliver and Company, Aladdin, Balto, An American Tale + the sequel Fievel Goes West (but not the cheap DTV sequels!), Wizards
Anime-Naruto, Dragon Ball/Z/GT, Akira. I'm not into anime that much anymore really.....
Claymation- Anything by Aardman Animations (They did things like Wallace and Gromit + Chicken Run) or any ones directed by Henry Selick (Nightmare Before Christmas+James and the Giant Peach are the major ones)
Shorts- Creature Comforts (A Nick Park/Aardman Animations short, view it on
AtomFilms), all Disney/Warner Brothers's shorts, the old 1920's silent Felix the Cat cartoons, Norman McLaren's "Neighbours" (Info and video clip is
here)
TV Shows- Ren and Stimpy, Rocko's Modern Life, Camp Lazlo, Catscratch, Invader Zim, The Angry Beavers, Animaniacs, Pinky and the Brain, Sonic the Hedgehog (that one that came on ABC Saturday mornings), The Adventures of Sonic the Hedgehog (The one in syndication that was comical), Darkwing Duck, Chip and Dale's Rescue Rangers, Ducktales (This is finally coming out on DVD soon along with Rescue Rangers, YAY!), Bonkers, Talespin, Gummi Bears, Bonkers, Garfield and Friends, Megaman, Futurama, Family Guy, Venture Brothers.
WHEW. As that one Nicktoons Channel filler spot says:
"I like cartoons....I love cartoons....I eat cartoons!"

"In fear I hurried this way and that. I had the taste of blood and chocolate in my mouth, the one as hateful as the other."-Hermann Hesse, Steppenwolf