Cooperative Games
Games like Halo: Reach and Gears of War II allow you to play online via Xbox Live. This offers a multi-player co-op mode where players complete special missions, help others and receive help along the way. In Halo, if you have a headset, you can communicate and interact directly with other players.
Interactive Sports Games
Titles like FIFA 2011 and the Madden football games offer online modes so that players can join teams with others. Interacting with other players can increase your chances of winning a match or a game because more cooperation is involved.
Kinect Games
The Kinect games for the Xbox 360 allow you to manipulate your character without using a controller; a motion sensor picks up on your movements allowing you to interact with the game as yourself. These games can be played with two or more players, such as Dance Central, Kinect Sports, and Kinectimals.