Flash MX ActionScript and Remoting Examples
Flash MX Client Login -
Flash MX ActionScript front-end login, AMFPHP Flash Remoting back-end,
and MySQL for the database.
Pully Box -
ActionScript rendered square box which can be pulled out of shape and snap back.
Flash and ActionScript development on Linux - Here is a collection of links to help you develop Flash web applications on linux. This includes Flash Remoting, Compiling ActionScript, Databases, etc.
This is more of a "What's out there" rather than "The best of the best."