My company (www.rjmetrics.com) develops software that you can use to analyze your users in different ways than web traffic analytics, things like tracking customer lifetime value, churn analysis, and segmentation by any data on which you track your user base (registration date, geography, plan, etc). We actually recently wrote a blog post on why a tool to analyze your database is a great complement to a tool to track your traffic.

http://themetricsystem.rjmetrics.com/2009/01/22/rjmetrics-vs...

For the record, we use Google analytics and of course we are ravenous consumers of our own dogfood.