I don't know if this is something that I'd eventually make, but just thought it might be cool to have as a game (the idea probably came from watching that movie Click and Death Note).
Essentially, due to some trivial and convoluted back-story that no one cares about, the player possesses a "time-stopping" device that could pause the entire world. However, the device could only pause time for say, 60 seconds at a time -- and there is a cool-down time before it can be used again.
Of course, the military/government or whatnot somehow became aware of its existence, and is on a mission to take the device from you by force.
So the game would revolve around not being captured by the government. Combat would be entirely different from the normal shooter games or whatnot, and would be more like a stealth-game -- You'd be trying to survive between the time-stop cool-down. And when it's up for use, you get 60 seconds to either escape/"vanish" from those who are on you, or kill the pursuers as if they are target dummies, or perhaps some kind of a psychological gambit to fool the pursuers, etc.
I haven't really thought too deep into the concept yet, but I think it has a lot of potential for something really interesting, and lots to think about. . . e.g. what would the government be able to do in terms of defenses against the existence of such a thing? To what extent can the owner of such a device affect the world?
(And hm, anyone know of anything similar that's already out there? Hopefully not, but I guess it's not that unlikely. :p )