I'd like a game that would run on people's cell phones. It would involve connectivity and some sort of currency--not necessarily real money.
The only impossible part is a little piece of hardware: Somehow, the phone needs to be able to measure a person's pulse. Otherwise, the basic premise is simple: Your pulse is measured constantly, and if it goes above a set limit, you lose. If time runs out, it's a draw. The set limit might be relative to your "resting pulse", leveling the playing field for out-of-shape vs. in-shape competitors. In addition, the set limit might vary from game to game--along with the time limit and betting total. The basic premise, however, never changes: You try to raise your opponent's pulse while lowering your own.
Maybe some parameters are thrown into the mix to make things Wario-Ware-style wild. Anyway, it might be a fun game because, with the currency involved, it gives purpose to something inherently fun that would otherwise not be performed in chance encounters. Imagine walking down the street and having your phone chime a special tune that signals a battle. You accept, and pretty soon you're facing a complete stranger--save the connection you both share for owning such a crazy game. Each one of you is trying to make the other person laugh, become worried, aroused, tired, or generally freaked out in order to earn these gold coins or whatever. Afterwards, you both laugh, say what the heck just happen, and get back to making Xerox copies or thinking up ideas for an essay you don't want to write that's due on Tuesday. I think a game like this could make mass quantities of people happy.