Xbox 360 Exclusive Games: Notable Titles by Exclusivity Type
"Exclusive" definitions vary (timed, console-only, PC also). Here are major categories:
True Exclusives (Never on Other Consoles)
Alan Wake
Blue Dragon
Crackdown
Dead Rising
Fable II & III
Forza Motorsport 1–4
Gears of War 1–3
Halo 3: ODST, Halo: Reach
Jet Set Radio Future
Lost Odyssey
Mass Effect (original)
Perfect Dark Zero
Project Gotham Racing 3–4
Riddick: Escape from Butcher Bay
Splinter Cell: Double Agent (360 version)
Viva Piñata
Timed Exclusives (Later on PS3/PC)
BioShock, GTA IV, Oblivion, Mass Effect 2, Fallout 3
Console Exclusives (PC Versions Exist)
Most above (Fable, Forza, Gears, Halo, Mass Effect, PGR)
Not exhaustive. Also consider Xbox 360-exclusive DLC for multiplatform games. The 360's long life (2005–2017) means "exclusive" status changed over time.