Looking down my list of owned games, i will suggest the following:
Gears of War 1-3: 2-3 are 360 exclusive and i've found them very enjoyable, especially in co-op
Batman - Arkham Asylum: One of the very very few games i've played where the 'other stuff' outside of the main story are genuinely entertaining (i.e. the riddler challenge thingys)
Alan Wake - A little bit of an odd game, if you can get into the mood of the game, i think it's a real winner. Maybe get a demo or something first and see if its for you.
As already mentioned, the Mass Effect games. Personally, i'm not that sold on them as games, but they're really looking like making a pretty epic story!
Dead Space 1-2: Several good reasons to play these games; if you like 3rd person shooters, action-horrory games, a pretty decent story and/or love the film Event Horizon, you should enjoy these.
Several more, but i feel i'm rambling... one last mention for Splatterhouse. yes it's stupid, but it's violent, headbanging (i.e. awesome heavy metal soundtrack) fun stupid!
Gears of War 1-3: 2-3 are 360 exclusive and i've found them very enjoyable, especially in co-op
Batman - Arkham Asylum: One of the very very few games i've played where the 'other stuff' outside of the main story are genuinely entertaining (i.e. the riddler challenge thingys)
Alan Wake - A little bit of an odd game, if you can get into the mood of the game, i think it's a real winner. Maybe get a demo or something first and see if its for you.
As already mentioned, the Mass Effect games. Personally, i'm not that sold on them as games, but they're really looking like making a pretty epic story!
Dead Space 1-2: Several good reasons to play these games; if you like 3rd person shooters, action-horrory games, a pretty decent story and/or love the film Event Horizon, you should enjoy these.
Several more, but i feel i'm rambling... one last mention for Splatterhouse. yes it's stupid, but it's violent, headbanging (i.e. awesome heavy metal soundtrack) fun stupid!