I'd go for awstats. I was getting my site usage reports from awstats for a while and then turned on Google Analytics to do this job as well. And, surprisingly, Google turned out to be rather unreliable.
I get usually have no visits from a country like Finland and once I knew for sure a friend of mine visited the site from Finland and what happend? Awstats says - hey, you had a visit from Finland! And Google Analytics? I move my mouse over Finland and the bubble says "visits: 0". After that I could never quite make myself trust it again.
