I tried a bunch of free solutions, and while none on their own is a complete package, putting them all together works pretty well.<p>Firestats is a Wordpress plugin which is great for comprehensive stats that include crawlers, etc.<p>Google Analytics has plenty of plugins and if you've used it you'll know its strengths and weaknesses. If not, it's good if you're all about driving and improving traffic and ads, but not that great if you're just curious about your traffic.<p>The built in Wordpress blog stats aren't bad actually, try them out.<p>Finally I use extremetracking.com for geographical, and just a nice quick way to get a snapshot of usage.
Mint is great because of 3rd party plugins. There are some interesting things that can be done--and real-time stats are a big bonuses.<p>That being said Google Analytics is the best software hands down. They provide more information than any other product I've seen.<p>I'm actually running both right now and actually like the information I receive from each.<p>Mint gives me a "what's going on now" view and Google gives me a "what's going on overall" view.
Statcounter.com is excellent for the real time statistics it provides; during a launch, you can know when a site just linked to you seconds after the first user visit your site. With Google Analytics, it can be hours before you can access your stats.
I use HaveAMint.com, but Google Analytics is the best in terms of analyzing data, etc. for free - Mint can let you know if you're getting dugg or something, and Google lets to analyze the traffic the next day.
I use GetClicky and Wordpres stats:
<a href="http://wordpress.org/extend/plugins/stats/" rel="nofollow">http://wordpress.org/extend/plugins/stats/</a>. Woopra is meant to be good too.