I just received my invite to test the Measure Map application by Adaptive Path - and, da da da, da daa, I'm lovin' it. It's really good. Easy to use, easy on the eyes. And the data is interesting too. The only small problem I found with it so far is that it doesn't seem to recognize that Daylight Savings Time ended (yet?). Small potatoes - this is a beta product after all.

Comparing Measure Map and FeedBurner
I think the services are more complementary than competitive. Measure Map tracks your blog traffic (eg: browsers used; links followed in and out; countries they are coming from) plus some blog stats such as comments made on your posts, while FeedBurner analyzes your subscribers (number of readers subscribed to your site; what aggregators they are using; posts they are visiting). To be sure, there are areas of overlap but both services combined give you a richer understanding of your visitors and subscribers.