The Xbox 360 is backwards compatible with original Xbox titles. It was released to compete with the PlayStation 2 and so it’s games look and feel like most titles from that era of gaming.
Which makes perfect sense, since it’s the first Xbox generation. The original Xbox has no backwards compatibility at all. So let’s look at which games will work on which consoles. There are three existing generations of Xbox console, with a fourth generation coming in hot at the time of writing: