Compete's web analytics tools has attempted to give a broader range of stats beyond mere visits and page views by introducing stats measuring visitor's 'attention'.
In a recent post, Steve Rubel discussed what would replace the page impression, and while the unique visitor metric is probably the most reliable metric available at the moment, it fails to measure a user's engagement with a particular site.
Popuri is a new site which allows you to quickly look at statistics for any website. It shows the link popularity of a website using rankings from various sources.
Simply type in the site's URL and Popuri will show stats from Google Page Rank, Alexa, and backlinks from Google, Yahoo and Live.com.