Xbox is not allowed X-Men games until 2036, according to illegally breached Insomniac Games materials
Documents leaked after Insomniac Games was hacked indicate that the studio has an exclusive license on most X-Men games for the next several years.
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Part of this includes the license details for Marvel's X-Men, which Insomniac Games seems to have ironed out as part of working on the already-announced Marvel's Wolverine. According to the terms, which Windows Central has viewed, Insomniac Games is given full license to work on X-Men games through Dec. 31, 2035. Until that time, Marvel cannot announce any new X-Men games for consoles, Windows PC, or Cloud gaming services.
During this time, X-Men characters are allowed to be used in "multi family" team-up games, such as a future Avengers or Guardians of the Galaxy title. X-Men characters cannot be used as a competitive advantage for Xbox, such as having Wolverine exclusively available in the Xbox version of a game.