I'm surprised the movie Crank hasn't been made into a game. Well, it has, but I mean a big AAA 360/PS3/PC game.
If you've never seen the film, the gist is that the protagonist has been poisoned and his heart will stop if he doesn't keep adrenaline running through his veins.
Imagine a game where you can't stand still for long. You have to constantly be sprinting, speeding, shooting, tumbling, or keeping the pace up in some other just to stay alive. The basis of the game is that the pace is almost always intense.
Adrenalin does warp a person's concept of time, so I suppose the game might be perforated with moments of slow-motion. That might be a reward for maxing out adrenalin, or it might occur at specific moments of the game (such as a gun battle involving many enemies or a squeeze through European alleys with a sportscar).
It could make for some fun multiplayer, too. Imagine how hectic a battle would be if player's couldn't afford to poach or pause long in cover. In fact, it might make for an interesting multiplayer mode in other games.