status-completed Sep. 7, 2015:
Implemented for 25k users on graduated sites and 5k users on beta sites.
I absolutely love the example suggestion. So here it is so that it may be voted on.
Access to site analytics
Community moderators have access to a page that includes several interactive charts showing time series of aggregate data such as traffic, posts, page views, and even newsletter subscriptions. Much of it can be cobbled together via public sources, such as SEDESEDE, but not all of it and not all in one place. Traditionally we haven't shown this data to non-moderators because there's not a lot people can do with it.
But there's no reason users with X reputation couldn't have access to those statistics. Conceivably, it could even be useful for community leaders to have better data about their site's history collected in one place. More importantly, however, it's an amusement people could look forward to earning.