I'm curious to hear other's thoughts on they think would be useful.
Please don't hold back ideas! There's very little harm positing silly or unlikely ideas, but there is some potential value (perhaps more than you realize).
Inspired in part by calebo's comment here
Note that this is quite easy to do. Give me or someone else that's competent access to the server for a few hours, and we can install Yourls or another existing url shortening tool.