Another vote for StatCounter. I've always liked their service, and it's free too. They have a paid service that has a few nice extras, like a larger log (so you can keep track of more than 100 page loads at a time). However, the free one has always met my needs. Oh, one more thing: you can have them e-mail you weekly with reports and pngs of the stats like country, browser, os, etc. too.
And no, I don't work for StatCounter 😀.
-Chase