Website Analytics Tools

Absolute Log Analyzer - Great for in-depth offline analysis of log files. This product takes raw logs and allows you to look at pretty much every piece of data in it. It is admittedly old school and tedious, but it's the most thorough log analysis software I've seen. Also, though I have not done it, I do believe there is a way to set this up on a server to run as a batch process.

Google Analytics - Not very comprehensive, but for the CEO or CFO it works great as an overview. Or if you just want something to suggest to a pal who wants to know how many hits he gets on his cheesy weblog.

ClickTracks - I have friends in marketing that swear by this. A lot of the features are similar with Google Analytics, i.e. - lots of fancy controls, site overlay, etc. But a bit more extensive for showing referral information, conversion tracking and search terms.

DeepMetrix - Not Yet Had time to Review but it is said to be good with Microsoft / ASP technologies and has partnered with them.

Actual Analyzer - Not yet had time to review this family of web statistics tools / web site traffic monitoring tools

StatCounter - (only hosted) Great for quick and dirty stats of very small sites but if you need to scale it gets very expensive and is less capable than some of the other tools.

Here are some good sites to check out. Not all have been reviewed yet

clicktracks.com
coremetrics.com
fireclick.com
intellitracker.com
manticoretechnology.com
omniture.com 
onestat.com
opentracker.net
sawmill.net
thinkmetrics.com
unica.com
websidestory.com
webtrends.com