Does Final Fantasy XIII-2 have a "new game plus" mode?
Solution 1:
It's kind of irrelevant as you can bounce around between each time period and zone whenever you'd like. From New Game+ for FF XIII-2:
There isn't really a new game+.
You're just able to reverse time so you can replay any section of the story or area once you find a reverse clock item [seal] in the corresponding time period.