OK, you're all sorted for a wireless controller already then
For games, I agree with v0id regarding "Mass Effect". Spectacular games.
You like GTA, so I'd recommend "GTA IV" and the two DLC add-ons "The Lost & Damned" and "The Ballad of Gay Tony". You can also buy the DLC episodes on a standalone disc together as "Grand Theft Auto: Episodes From Liberty City", or you can get GTA IV plus the DLC episodes all together as "Grand Theft Auto IV: The Complete Edition".
I'd definitely recommend "Red Dead Redemption". A rather simplistic description would be "Grand Theft Horse" or "GTA: Wild West". It's so much more than that, though. I absolutely loved it, it was my second favourite game of 2010 (after Mass Effect 2). Spectacular, epic, action-adventure in the Wild West. I prefer it to "GTA IV". Stunning game.
"Batman: Arkham Asylum" is a great game. It's easily the best Batman game ever, & the best comic-book game ever, but it's also a bloody good stealthy action-adventure in its own right. You are
the Goddamn Batman, as they say. A sequel is due at the end of this year, "Batman: Arkham City".
You may or may not like the "Halo" (FPS) games & "Gears of War" (TPS) games. I think they're great, but they can be quite... polarising.
"Alan Wake" is an excellent story-driven psychological thriller, & is probably quite cheap now. It was one of the better games from 2010, but was overshadowed by "Mass Effect 2", "Red Dead Redemption", and "Halo Reach".