Yes, Xbox 360 supports backwards compatibility; meaning that it will play original Xbox games. There were 3 different Grand Theft Auto titles released for the original Xbox, and they are listed below:* Grand Theft Auto: The Trilogy * Grand Theft Auto: Vice City * Grand Theft Auto: San Andreasâ„¢ It is said on the official Xbox website that "A software emulator is required for each original Xbox game you play on your Xbox 360â„¢ console." The software emulator defaultly comes preloaded with every Xbox 360 hard drive, and if you are connected to Xbox Live, then you probably already have the most recently updated software emulation.Also, Grand Theft Auto IV is currently in development for Xbox 360 and PlayStation 3. A solid release date is still unknown, but industry insiders are speculating