you asked to back up answers with games.. here are the games i could think of
360 Exclusives you may enjoy (since you already have a ps3)
Gears of War
Gears of War 2
Halo 3
Fable 2
Banjo Kazooie: Nuts and Bolts
Braid (XBLA)
Halo 1 (Xbox original)
Halo 2 (Xbox original)
Blue Dragon
Wii Games you may enjoy (leaving out ps2 ports, assuming you have access to them in the past)
Super Mario Galaxy
Twilight Princess
Super Smash Brothers Brawl
Mario Kart: Wii
Metroid Prime 3
No More Heroes
de Blob
Lost Winds (wiiware)
Wario Land: Shake It
World of Goo (wiiware)
wii sports (yes .. you can have fun with it if you don't try to be negative)
Windwaker (Gamecube)
Super Mario Sunshine (Gamecube)
Metroid Prime 1 (Gamecube) - perhaps wait for the wiimake, which may be out by mid 2009
Metroid Prime 2 (Gamecube) - perhaps wait for the wiimake, which may be out by mid 2009
Pikmin 1 (Gamecube) - perhaps wait for the wiimake, which may be out by mid 2009
Pikmin 2 (Gamecube) - perhaps wait for the wiimake, which may be out by mid 2009
Paper Mario 2 (Gamecube)
People, feel free to add to this list, keeping in mind the conditions next to each header