The original Resident Evil 4 (2005) launched on GameCube, PS2, and PC—never on Xbox 360. The 360 lacks backward compatibility for GameCube discs.
Purist Note: Many fans prefer the original GameCube version for its lighting, color grading, and "tank controls" feel. For that experience, you need a GameCube/Wii (backward compatible) or PC emulation (Dolphin).