Tired of coming to FeedBurner to analyze your stats? Use the API. Tired of "logging in" via a "browser" to "edit" your feed "settings"? Use the API. What can't you do with the API? Nothing, with one exception. The API has a built-in limit of 20 burned feeds per user id. We will ratchet this down even lower if it's abused, but that seems like a reasonable number to get started.
