Any multiplayer games for xbox 360?

A friend and I are looking for a fun co-op game for xbox 360.
He's picky so it should have moderate to good graphics, preferably open world or moderately open?
I truly can't find a good one anywhere. The price doesn't matter. Oh and the multiplayer has to be offline. Were sharing a screen!

Do not recommend Diablo, or minecraft or any FPS like CoD. (i love minecraft but he hates it) I really wish fallout or skyrim was multiplayer. :'

Lego batman 2!
Lol jk I have no idea of any good games that split screen

The best option would be Fable two or three.Both are great open worlds with nice stylized graphics.

Gears of war 2-3… F.e.a.r 3… Defence

Has he actually played minecraft, I used I think it looked dumb but when I played it I was hooked.