Movie - Dick Tracy
Classic.
Cartoon - Seriously, too many. Doug, Rugrats, Animaniacs, Freakazoid, Darkwing Duck, Spiderman... the list is almost endless
Everyone loved The Tick back then, too. Rocko's Modern Life, all the Batman cartoons, Gargoyles, X-Men... so much good stuff.
Game - Toejam and Earl: Panic on Funkotron
I was so obsessed with that game. But since I was only 10 or so when I played it, I only kind of understood how to play it. A difficult game for me at the time, but one of the few I could play cooperatively with my brother. Looking back at it now, its quirkiness reminds me of games like Earthbound.