So I thought of this the other day and would like to try it here if I can get enough people interested. Essentially this is going to be like your typical RP, except every player is on their own team. You will each be given a certain set of facts that you know, things you want to accomplish, etc. The goal will be to accomplish your goals while not falling victim to those of the other players. Kind of like a competetive RP basically.
For instance, one character might be a professional thief who is attempting to case a museum for a later robbery. Another player however is an undercover cop who has a hot tip that there will be an attempt to steal a valuable artifact and is trying to catch the thief before this can occur. Obviously the thief doesn't want his identity known or he'll get busted, and the cop doesn't want to tip his hand either. Throw is a time traveler who needs the artifact to get back to his own time and perhaps a typical citizen or two that have their own agendas and you get quite a neat soup.
We can do this as a series of events such as the example I just gave, or a more long term version where a band of adventurers is trying to thwart a great evil, but one of them is actually the villain in disguise, another a runaway prince, and a third just an amoral thief who wants to take advantage of everyone.
This can come in all sorts of settings and if we do multiple (possibly even at once) scenarios we can hit quite a spectrum of things. Please post here if you're interested in this.