Android remote screen display & control
Webkey is my personal favorite remote control program. It turns your phone into a web server, complete with https and username/passwords with permissions you can set. So you could have an admin user with full access, and a standard user who can just see the screen.

On top of built-in VNC, Webkey also gives you the ability to track your phone by GPS, connect to a terminal, browse and download files from your device, and a bunch more administrative things. Though this sounds like it is outside of your needs (but you don't have to use those features).

And to top it all off, Webkey is open source and free, encompassing every Android users' favorite two buzzwords.