We don't have cable out here. We might be getting Dish (house already has a dish and 4 rooms are wired for it) in a week or two. The kids are addicted to Cartoon Network. Some of the newer shows were a little out there.
Animaniacs came out when I was in my late teens. I never really watched much of Pinky and the Brain when they got their own show, but I loved the originals. I even have sound clips that I saved off the internet of that show, and plug them into the operating system on the computers (an error comes up, and you hear The Brain say, "Pinky, do the world a favor, never breed.")
Futurama is great. I haven't watched it lately, but I heard that the network that currently shows it ordered two more seasons.
The Family Guy is hilarious. It's not something that I would really want my kids to watch until I screen the eppy (Peter doing a strip-tease for his own daughter's baby/wedding shower comes to mind). Anybody seen The Family Guy: Blue Harvest? It's a Star Wars spoof using The Family Guy characters. Apparently, George Lucas is a big fan of The Family Guy, and offered. From what I've heard, they're actually going to collaborate and do The Empire Strikes Back and Return of the Jedi as well.
My kids love Transformers (have you seen the motto on the Decepticon cop car? "To Enslave and Punish"). They also love all the Shrek movies (lot of adult humor in there), both of the Ice Age movies, Hoodwinked, Happily N'ever After, etc. Right now they're watching the first Short Circuit movie.
If you all really want a lot of good movies, dirt cheap, check out your local Wally-World. They should have a "Two for $10" rack of DVD's. LOTS of good titles in there, including some of the older cartoons.