Call Of Duty Series
Battlefield Bad Company series
Halo series (for 360)
The Elder scrolls games (Morrowind is cross compatible for 360 aswell)
Medal Of Honor
Dragon Age origins
Dragon Age 2
The Fallout series
Bioshock series
Assassins Creed Series
Most Kinect Games
________________________
Recommendations for future/Upcoming games
The Elder Scrolls Skyrim
Call of Duty 8
Battlefield 3
Dragon age II (Released March 8th I believe)
Duke Nukem forever