Analytics features an elegant user interface that leverages modern web technologies like Flash and DHTML. Although it seems a little rough around the edges (the Flash components don't display correctly in Firefox on my Linux system) the service is moderately impressive. It can export data in several formats, including XML and CSV. With Analytics, you can determine where your visitors are coming from, which links on your site are getting the most hits, how long the visitors spend on various pages of your site, and more:
Although it may not be especially useful compared to some of the critical features, the geographical map overlay is probably one of the coolest features. Analytics will generate a Flash-based map of the world that shows you which regions your traffic comes from. You can click individual regions to get additional statistics, and you can use Flash's built-in zoom feature to get a closer look at specific locations.
The site overlay mechanism is one of the other particularly interesting features. It will superimpose click statistics on top of your actual page so that you can (hypothetically) see what people are clicking just by browsing your site. During my experiments with Analytics, I had some trouble getting the site overlay feature to work correctly. Clicking the individual links in the site overlay caused the Analytics start page to load in the iframe rather than the actual content.

