MotorStorm (2007) was never released on Xbox 360. It was a PlayStation 3 launch-window exclusive developed by Evolution Studios (later acquired by Sony).
The franchise remained PlayStation-only: MotorStorm: Pacific Rift (PS3), MotorStorm: Arctic Edge (PSP/PS2), MotorStorm: Apocalypse (PS3), MotorStorm: RC (PS3/Vita).
For similar off-road arcade racing on Xbox 360, consider: Pure (2008), Fuel (2009), DiRT 2/3 (sim-cade), or MX vs. ATV Reflex.