Copy and pasted from a PM I sent, for an idea of the sorts of err ideas that I have.
I have a Phantom of the Opera-ish idea where I play a musical spirit and the like.
I also have an idea where I play a character that has suffered a lot of loss and tragedy and is somewhat scarred and detached by the experience. It'd be an RP about trying to get past her insecurities, fears, and emotional issues and forging a strong relationship.
I also have an idea where my character plays this woman that controls the opium trade in the Exalted settings. She's a liar and a backstabber and the RP could either be your character is entirely devoted to her, even knowing the kind of woman she is, or it could be an RP where they're dealing with trust issues and et cetera.
I have many other ideas, but there's a sampling.