I'm interested in novel uses of prediction markets. For example, one can create an online dating service where people bet on whom they believe would make good couples. People might then take this as a suggestion as to whom to consider for a date. A similar thing can be done with business relationships, academic collaborations, etc.
I put a lot of thought (and some actual code) into this exact idea! I put up a fast demo of it and it is rather popular.. I'm interested in developing this idea further.