ExtremeDM
Those Dutch and their counters. This service is the best counter and statistical generator I have ever seen. Not only does it count visitors, but it also tells the users screen resolution, screen colors, browser, operating system, who referred them, search engine keywords and much more. It is not that accurate, but it is more accurate than any other comparable service. One of my favorite functions is how it is set to your time zone, not wherever they are.

BetterCounter
This is a java counter which will display number of visitors and tell you which pages are being visited in a user area. You can track up to 20 pages for free.

Nedstat
You may of noticed a little blue box for awhile with a chart on my main page. If you clicked on it, you would of seen my statistics although not accurate. LinkExchange which loads first on my pages says I get 89 visitors a day. So does my tripod counter. Nedstat says I get 5 visitors a day. All trackers are like this, but Nedstat is one of the best trackers because it is small and not a big banner. I also like how I can tell which sites referred to my page so I can thank them.

Free Stats
They give you many neat features, like you can tell which page a visitor was referred to and many more cool things like which operating system user uses. A must see!

Aaaddzz
Nice free service. But highly unreliable for some people. If it is reliable for you, they generate some nice reports about who is coming to your site.

EasyCounter
It is is easy like it says, but the banner used is very ugly, maybe even uglier than the barnyard animals used by pagecount.

The Musium of Counter Art
Are you tired of seeing the same old counters time and again? The Museum of Counter Art has beautiful varieties of counters. Over 500 to be exact. They have a CGI sc riot you can use or they can host the script for you. Either way. If you don't have CGI permissions, try Ultimate Counter's gateway.