"animated" can go into a lot of different shows. I think the category you're looking for is "Political Satire."
As for the ones on your list...
Archer: Heard of it, never seen it.
south park: Great, if disturbing on occasion.
american dad: I don't see the difference between this and Family Guy.
Family Guy: A bunch of random crap happens.
simpsons: Probably the most "P.C." of all of them.
bevis and butthead: An older cartoon that, from what I've seen, involves a ton of stupid actions that result in personal pain.
allen gregory: Never heard of this.
Clevland Show: Black Family Guy (I mean really, they even have the same characters).
Robot Chicken: Okay, lots of throwing up and bleeding though.
Futurama: Probably my favorite of all these listed here. It was the only show I ever went out of my way to see (I wasn't allowed to watch it when I was younger and it was on at like 2am).
Ranking them for my top three I would go with, 1. Futurama 2. Simpsons 3. South Park
Next maybe Family Guy, followed by Robot Chicken. American Dad and The Cleveland Show are just Family Guy clones and never got into either of them as much as the original. Beavis & Butthead I haven't seen in a long time and haven't seen any of the new episodes put out, so can't really say how I stand with them. Archer and Allen Greogory I have never even heard of, so I can't say.