List listed below are free web analytics tools.
Google Analytics - A robust and flexible web analytics tool offered by the great GOOGLE. I am using google analytics analytics for my company and I am very happy with the insights this majestic tool provides me.
Microsoft adCenter Analytics - Free for those who sign up for MSN Adcentre.
Piwik - A free webanalytics tool offered as opensource.
Site Meter - Free tool but you have pay them for utilising their advanced features.
Stat Counter - Free but you have to shell you money for having a hand on the advanced features.
Webalizer - This is a log file analysis tool.
Analog -Log file analysis tool
Awstats - Log file analysis tool