I think the best it has is Kinect Adventures, and even then finding space is a hassle, and when you do its not really comfort in your living room.
Street Fighter is okay, it just gets frustrating when someone is clearly dominant
Beautiful Katamari is good single player, but multi player is dull and the levels svck.
Doom 3 could probably be one, but there's no local coop.
Fifa, Live/Madden/2k are good ones. But then its like Street Fighter when someone is just a boss.
Rayman Origins is good, but to leave it and pick up it feels stale.
I came to the conclusion that Nintendo has the better console for games.
Games like Mario Kart and Mario party is what I want on the 360. It doesn't have to be Mario, it just has to be good.
If anyone has any good suggestions for 360 games, please post, but I doubt there are any available in N America. Maybe Japan?