I don't really think of Anime when I think "Cartoon."
I generally think Saturday morning fun. Waking up at 6:00am and running through the house yelling CARTOON DAY! (Really pisses my wife off.)
I grew up interested in imports, buying VHS/DVDs of most foreign cartoons. Later on, CartoonNetwork would also start airing them. Of course I started off with Disney when I was younger, but Toonami made up most of my cartoon memories. There was also the Anime channel, but that wasn't as good.
Literally all that people have mentioned and these few i can remember
ADVENTURES OF THE GALAXY RANGERS
chip and dale rescue rangers
DEFENDERS OF THE EARTH
The Incredible Hulk
Mysterious Cities of Gold (which they have just rebooted)
The New Adventures of Jonny Quest
Super Mario Brothers
ummm i think thats about all the old ones i can remember