Kotaku stated the XBox 360 version is the worst version to get:
"On a related note, the Xbox 360 version of Crysis 3 is a big step down from its PC big brother. I played an hour or so of the 360 version just to see how it compares, and the difference is remarkable. It's still plenty okay-looking for a console game, but it doesn't move all that well. It's too busy for the Xbox's native resolution, and the jaggies and low-res textures make everything look muddy. Not only is the game lower resolution and lacking any of the DirectX 11 particle-porn the PC version so regularly smears onto your screen, the Xbox version's framerate is quite sluggish, which makes it less pleasant to play."