Another vote for Piwik, which I find great in many cases including one in particular: when you're in situations where Google services are blocked (such as China

Another vote for Piwik, which I find great in many cases including one in particular: when you're in situations where Google services are blocked (such as China, or visitors from a similar firewall, perhaps corporate). Any website that uses Google Analytics has no clue how many China visitors they have (or visitors where Google Analytics is firewalled), unless they adopt their own metrics program. Plus, you hold the data, and you govern how the data is used (or, not used). That is a huge bonus too for many folks.