Crackdown 3 is Crackdown for Xbox One
You might wonder why this is not simply Crackdown 3, after all Crackdown 2 arrived for Xbox 360 in 2010.
Crackdown for Xbox One is not a remastered version of the first Crackdown game, but it isn't a sequel to Crackdown 2. In an interview with EuroGamer Microsoft Studios creative director Ken Lobb explained why this is not Crackdown 3. Lobb states,
"I don't like X game number seven. It's a good idea sometimes to have a game with a subtitle. But some games, and Crackdown is a perfect example, is it really 3? It is the future. This is a different place, long after the original game. But is it 2? Is it a different universe than 2? Yeah, it's kinda a sequel to 1."
While you are still in Pacific City and you are still an Agent with great powers, Crackdown for Xbox One is not a direct sequel to Crackdown 2 -- even though it is the third Crackdown game.