I grew up with so many cartoons and some anime, I probably can't remember them all. Here's the ones I could think of in random order:

The Simpsons
Sailor Moon
Fullmetal Alchemist
Lucky Star
Chobits
Melancholy of Haruhi Suzumiya
Tom and Jerry
Looney Tunes
Powerpuff Girls
Rugrats
Pokemon
Ren and Stimpy
Hey Arnold
X Men
X Men Evolution
Spiderman
Dexter's Lab
Totally Spies
Death Note
Braceface
Shaolin Showdown
Trap Door
Wallace and Gromit (can they be counted as cartoons?)
Family Guy
Futurama
Animaniacs
Goof Troop
Teen Titans
Pinky and the Brain
Doug
Rocko's Modern Life
Daria
Cow and Chicken
Cat Dog
Spongebob Squarepants
Recess
The Little Mermaid
Mouse of House
Jonny Bravo
Taz-Mania
Biker Mice From Mars
Courage the Cowardly Dog
Super Mario World
Tintin
The Wild Thornberrys
Kim Possible

and more that I can't think of... @_@