I don’t have any 360 exclusives, but here are some of my recommendations:
Bioshock trilogy (1, 2, Infinite) - a Horror themed FPS, a great chilling story
Transformers: Devastation - an Action beat’em up, in the style of the original 80’s cartoon
Darksiders - an Action Role Playing beat’em up, you play as one of the Four Horsemen
Thanks, I’ll check those out soon enough as a little treat once my academic obligations are out of the way for a while. I picked up a 360 with Gears of War 2 and Arkham Asylum, fairly cheaply and whilst I was disappointed that the homebrew scene is nowhere near that of the PS3 and Wii, I’d still like to collect the best of what it has to offer, especially if the versions are superior to the same releases on other machines.