MY personal favourite to play is Final fantasy 13.

It depends on if your a solo gamer or a multiplayer/Co-op player.

GTA4 is good for everything and so is Far cry 3 (Multiplayer is crap in farcry).
But I would recommend GTA over far cry due to GTA having replay-ability.

For FPS, BF3 as many people have said is a clear stand out over call of duty but my fav FPS is still MW2.

Co-op games like borderlands and Left 4 dead are amazing when your playing with your friends. The laughs and good times you have ad laughing at each other failing is just brilliant.

more Solo games like Skyrim and Splinter cell series, keep you entertained for a long times and can go backto them at anytime with the controls easy to pick up on.

favourite games are:
Rockband 3
MW2
Borderlands (1)
and Halo wars.
They are all different from each other but are good fun games to play.

Sorry I droned on abit

Battlefield 3 would have to be the best game on Xbox 360 for me.

Not really 'for' the 360, but it's on there. San andreas. Beast of a game. But if i have to pick a game meant for 360, halo 3.

BF3 is what i'm playing right now and it will beat any cod hands down

I personally think BF3 as well

I play both Battlefield 3 and Call of Duty, it just depends on my mood.

I also like other games, such as: Borderlands, Far Cry, GTA, Assassin's Creed, Dead Island, and what ever else.

well from what i can see people really like BF3

CoD4 is still pretty fun, but you should really try out battlefield! Bf2 was way more fun to me than cod, I haven't played bf3 so idk about it but I hear its really fun

My personal favourite is Halo 3, but Skyrim, Red Dead Redemption, Fallout, Fable 2, Bioshock, Halo 4, etc, are all good games that I like as well.

Dead Island and Dead Island Riptide. I beat Dead island hundreds of times and I'm working on Riptide.