Fresh Prince, Ninja Turtles, Doug (cartoon)

Anime openings: Eureka 7's 3rd I like the best (Taiyou no Mannaka He), but they're all good
Cowboy Bebop, Samurai Champloo, NANA and R.O.D. (TV)'s music are awesome.

As for endings, I really fell in love with 'Hanabi', which is the closing before the one that's on now for Bleach.

I love how anime uses real, existing artists that do other music. I've discovered some great musicians through anime-- Asian Kung Fu Generation, Ikimono Gakari, Tommy Heavenly6, Home Made Kazoku...