One of the really nice things about Azure Webapps is the support for running Webjobs. Most large webapplications will at some point need some data or media processed by a background process, and for that Webjobs are a perfect fit.

More...

A few weeks ago Microsoft introduced the concept of "Cool" Blob Storage on Azure, which means that you get REALLY cheap storage for data that you don't access very often - backup being an obvious usecase. In my case I have used Dropbox for backups for a while, and although it works fine for a certain amount of data, it is not really a good fit for backing up that family photos and videos once a year from the home NAS.