I'm an avid show watcher, and i like to have VLC open in my main (27") monitor and have an IRC or Steam open on my second monitor (19")

If you look closely at the bottom of GoT, you can see there are little icons open on an auto-hidden taskbar.
I want to know if there's any way at all to get rid of that taskbar while watching things fullscreen on the main monitor, but still be able to do things on my second monitor?
Its really a bother when it starts flashing due to skype and other things, and all in all generally a nuisance.