It would be interesting to develop a distributed anonymous voting system similar to Bitcoin.  Double majority voting system with a minimum turnout. Every "citizen" could vote Yes / No or simply abstain. Votes could all be verified publicly on the votechain with no chance of tampering. Maybe the miners would be the ones who would introduce the new legislation to be voted on. In this manner one could do away with the need for representative politicians entirely. A 'true' democracy backed by crypto.

The hard part of course is getting recognized and the land somewhere to set it up.