It's interesting.. I wonder what the common term will be 10 or even 20 years from now, when 'Television' and 'Monitor' are the same thing.
I already use a projector which runs in 1024x768, and displays my home theatre PC. I use this to watch TV, movies, view digital pictures, etc.. I control everything by remote, and have a wireless keyboard and gyroscope mouse while surfing the net, etc.
Right now, when referring to it, I just call it 'the projector', because more than just a TV, but I don't really think of it as a monitor.
Maybe the more generic term 'display' will be the most widely accepted term?