Brian Chau has graciously offered up some sample apps to get you started with FMS3 (they are exercises for his upcoming class). These come set up to run on FMS3 running locally (the free Developer edition would work for this).
http://brianchau.wordpress.com/2008/02/12/flash-media-server-3-demos/

He’s got some interesting apps in there, that take you a step further than the sample apps that come bundled with FMS3:

  • VOD/LIVE player (with playlist) – AS3 SWF, and an AIR app
  • Video Recorder
  • Multi-user Game
  • Flash Lite 3 video player

Thanks, Brian!