Can You Play GTA: San Andreas on Xbox 360? Yes, Via Backward Compatibility

Yes, via backward compatibility. The original Xbox version was added to the Xbox 360 BC program in 2017.

Requirements

• Original Xbox disc or digital purchase from Xbox 360 Marketplace (delisted 2014, but "Ready to Install" if previously owned).
• Xbox 360 with official hard drive (4 GB internal flash not sufficient for BC games).
• Internet connection for the one-time BC emulator download.

Differences from PS2/PC

• No custom soundtracks (Xbox version supported ripped CDs; BC emulation may not).
• Slightly improved load times.
• No mod support.
• Widescreen supported (unlike some PS2 versions).

Better option today: Play the definitive edition on Xbox Series X|S/PS5/PC/Switch, or the mobile port.