I found a Vizio LCD flat screen that runs off of a 12vdc wall adapter (brick). It is wired directly into the Airstream's 12v system so..... it runs while the Airstream is on batteries or shorepower.
My install details are in this thread
. See post on page 2
Electronics run on DC internally. Inverters are very inefficient to run an LCD TV. You lose battery power in the inverter converting to AC, and then lose again in the TV set's brick or internal converter going back to DC.
Direct wired to the Airstream 12v, with HD TV from the antenna, at about half volume, the set draws 1.9 amps. Parasitic draw is less than 0.02amps.
Our set is a few years old now so model numbers change. It can be hard to locate which sets have 12vdc wall adapters. What I do is find the model number, go to manufacturer website and look at the set's PDF manual to see what the brick's DC output voltage is. You can do the same to find home DVD/blueray players that can be direct wired to 12v in the Airstream