Xbox One games are not the only ones that see improvements while playing on Xbox One X. Xbox 360 games such as Skate 3 are also enhanced.
YouTube channel Resero has uploaded footage looking at Skate 3 playing on both an Xbox One S vs. the new Xbox One X consoles. The differences between the two versions are instantly noticeable.
You can see the draw distance is much better and things like trees and the ground look smoother. If you go back to the Xbox One S version, you will see that everything is more blurry.
I can confirm the game looks good since I have played Skate 3 on my Xbox One X as well. Sure EA isn’t releasing Skate 4 anytime soon, but this is the next best thing.