Architecture: Xbox 360 uses a triple-core PowerPC CPU (Xenon); PCs use x86/x64.
Operating System: Xbox 360 runs a custom hypervisor + Windows-derived kernel; PC games target Windows (Win32/DirectX) or Linux.
Executable Format: Xbox 360 uses .xex; PC uses .exe (PE) or ELF.
APIs: Console games use XDK libraries; PC games use DirectX/Vulkan/OpenGL + Win32.
What Does Work
Xbox 360 → PC Streaming: Xbox app (Windows 10/11) streams console output to PC over LAN.
PC → Xbox 360: Not supported. No receiver app exists on 360.
Cross-Platform Titles: Some games (e.g., Shadowrun, Final Fantasy XI) had 360/PC cross-play, but you still buy separate platform versions.
Backward Compatibility: Xbox 360 plays original Xbox games (emulated), not PC games.
If you want to play PC games on a TV with a controller, use Steam Link (hardware or app on smart TV), NVIDIA GameStream (Moonlight client), or simply connect your PC via HDMI.