Statistics
Awstats
Great GPL apache log analyzer, written in Perl and it gives detailed statistics (visitors, pages, hits, search engines, keywords used to find your site, robots, "broken" links, etc.). It is licensed under GNU Global Public License and supports multiple languages. Generates the full range of statistics. Successfully implemented a system of separation of robots from people keep records of sessions.
The example of the system here
ModLogAn
ModLogAn - is a modular analyzer of apache logfiles, which combines the speed and flexibility of settings. Analyzes the Apache logs and provides various statistical reports.
Information about the system here
Webalizer
Application software distributed under the GPL license and generates HTML-pages with statistics on the Web site based on log files of a web-server. Statistical data generated by Webalizer include the number of requests, visits, referrers, visitor country, uploaded data and other information.
Urchin (paid product)
Urchin 5 analyzes traffic for one or more sites, and makes accurate and understandable reports about visitors: about where they are, what they do on the site, which determines the fact whether they do purchases, etc. If the content is protected by a firewall or placed in a corporate network or intranet, so that the service Google Analytics is not available, you can use the software Urchin 5.
It is presented in French, Spanish, Swedish, Portuguese, Italian, English and Japanese, and is only sold through partners Google Analytics. Partners do not just sell software, but also provide paid support, enhanced personalized service, training to work with the product and provide analytical advice.
Examples are here