Night Dive Studio's Turok series remaster is on it's way to Xbox One. XboxAchievements says the studio is currently developing their remastered titles for the console after releasing both Turok and Turok 2 on Steam last year. The developer did not announce plans for a PS4 release outside of "evaluating" the possibility.
While I would love a new Turok, I'll settle for this! See the facelift the series got last year below.