This game is now backwards compatible (since Nov 2016) with the Xbox One. Can confirm because I just bought this from EB for $23, only to find now that it's on sale at the Xbox Marketplace for $7.48.
Game Description:
The award winning SKATE™ franchise is back and rolling into new territory as SKATE™ 3 heads to the brand new city of Port Carverton. Get ready to team up and throw down as you build your own customized dream team to shred the streets, parks, and plazas and change the face of the city. New tricks, improved off-board actions, and gnarly Hall of Meat carnage mixed with exciting new team-based game modes take SKATE 3 to a new level of skateboarding fun. The Games on Demand version supports English, French, Italian, German, and Spanish. Download the manual for this game by going to https://help.ea.com/en/tag/manuals and selecting your title from the Product drop down menu.
Note EA just turned the servers back on for Skate 3 and it's likely that at 6AM tomorrow morning we're going to see either a remaster announced or Skate 4 during the EA E3 2018 press conference.