Andreas Gohr has posted some info and code about one of the social networking/linking services out there, StumbleUpon. His post includes PHP code to figure out what your site's StumbleUpon ranking is.
StumbleUpon recently(?) added a "search result enhancement" feature to their toolbar. It adds StumbleUpon "star ratings" to Google results (See screenshot). This got me interested and I had a closer look at their extension...
As part of this "closer look" he came up with the code to return a general ranking for the URL you would give it. It does require a StumbleUpon auth key and username, but if you use the service already, you're one step ahead on that.