I like how you conviniently fail to list some of those "many games" which were "way better on 360". I can list many: Borderlands 2. Borderlands Pre-Sequel. Bio shock. Bio shock 2. Bio shock infinite. Call of duty black ops. Diablo 3.
In terms of genre, the top Xbox 360 games can be from a wide variety of genres. Some are action RPGs, like Mass Effect while others are first person shooters, like Bioshock. As long as a game is great, it belongs on the list regardless of genre. Vote up and add what you think are the best ever games on the Xbox 360.
9Oen.