Not a major one, it would generally depend on the game. Developers often have a "target system", sometimes the original system for which a game was developed before they decided to go multiplatform, sometimes from a manufacturer who's sponsoring the game development, sometimes just the producer's personal favorite. The game will usually run better on that system.

It's similar to how you can have two PC games which should be comparable performance wise, but one runs better on AMD and one runs better on NVIDIA/Intel. It depends on which one the developers spent more time optimizing.

If you're just looking for performance, you're probably better off upgrading your PC instead of getting a console. So again, what do you want from a console that you can't get from your PC?