Welcome to MPGH!
If I may recommend a game series to you (assuming you don't already have them), Batman: Arkham Asylum and Batman: Arkham City.
Most fun I've ever had on my Xbox 360. (Well that and, Naruto Shippuden: Ultimate Ninja Storm Generations, but that may not be as appealing to you. Plus, unless you have friends that are also really good at the game the only replay value is online. Which isn't bad, but maybe it's a game you should hold off on getting until the price goes down or until the third one comes next year. :P)
Anyways, enjoy your stay! ^_^
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