I was wondering if there were anyway to have automatic stats on points/answer, points/question, etc on the site. I didn't see it, so apologies if its there, but I think it would be beneficial to introduce some metrics into the user profiles.
It's not automatic, but you can get numbers like this from the SE Data Explorer. For example, I have a query for top users by average answer score, and you can also browse other queries that people have created.
Other than that, try checking MSO to see if this has been requested there - it wouldn't surprise me.
The Stack Exchange user leagues provide a limited contestesque view of user activities.