I do a lot of demos. I write a lot of blog posts. Thing is though, none of them really sell the whole Azure picture; the BIG picture.
The superdemo was designed to cover as much as possible in one hour. (Ok, it wouldn't all fit in an hour so you get an hour twenty something.) It's the demo for people who don't quite know what this Azure thing is and probably aren't quite up to speed on the whole cloud idea either.
This is an hour and a bit of barely-edited "making real stuff happen" back-to-back demos of the important things you need to understand about websites, VMs and SQL Azure.
Because this demo has been so well received, as of April 2015 it's now also available as a full on Pluralsight course titled Modernizing Your Websites with Azure Platform as a Service.
Windows Azure Friday: It's a Friday, it's Hanselman, it's more Azure goodness to wrap up each week with
Pluralsight: Hardcore developer and IT video training by the pros with heaps of Azure material
Azure Support Forum: Learn by reading the challenges others are facing — no really, read these, you'll learn heaps
Stack Overflow Azure tag: Same deal — read these, learn heaps
Scott Gu's blog: It's all Azure lately and it's all good — get the good word on what's new from the man himself