I've added a new statistics system to my blog in order to replace the hit counter that I used to have when I was running blosxom. The package that I am using under WordPress is DElyMyth's Wp-Dstats2 because it seems to be the closest thing to what I want. Wp-Dstats2 has a bunch more features than I actually want but I guess it will be collecting some interesting stuff along the way.
The only downside to using a new statistics engine is that I have lost all of my old information. Oh well, such things happen.