I found ClustrMaps today. It functions as a hit counter, but with a GIS twist. It puts a map on your site (or Blog) showing the location of your recent visitors. You and your visitors will find it fascinating to see where everyone is visiting from.
You can also log in to your ClustrMaps account and get hit statistics, so it serves as a hitcounter too. The service is free with the option to upgrade for a small fee of $1.99. If you have a popular site with over 2,500 hits daily, you will need to upgrade in order to track all the visitors correctly.