So I bought a second hand xbox from a friend of mine for £70 (great deal, even for an older model MW2 edition with a slightly reluctant disc drive).
I purchased Fez, which while flawed, may be my Game of the Year right now.
I also got Mark of the Ninja, which I love, but haven't played much of yet.
I am looking for some that can't really be experienced on PS3, because I have had a PS3 a while, and feel like making the most of my new console. So just throw at me the best XBLA or IBLIG you can think of. Throw in some multi-platform ones if you like, but exclusives prefered.