The game is still set to be released on the PS4, PS3, Xbox 360, Nintendo Wii U, Nintendo 3DS and the PC on April 29, 2014 as previously announced (May 2nd in Europe).
The story first unfolded when it was noticed there was no Amazing Spider-Man 2 promotional materials on the official site for XBox One, and also Australian retailer, EB Games, began cancelling XBox One orders of the game (via GamersHonestTruth).
No specific reason for the cancellation or delay has been given, but according to official statements from Activision, they are revising the release plan for the Amazing Spider-Man 2 video game.
“We want to inform you that we are revising our release plans for ASM2 on Xbox One," MCV was told. "When and whether ASM2 is released on Xbox One is TBD.”
The Amazing Spider-Man 2 film gets released on May 2nd.