Our fifth wheel came with a Sansui 32 inch.
Great picture low wattage use.
We just added a Samsung 22 inch in the bedroom.
Both are 1080p televisions.
Both work on the cheap-o crappy Wagan 200 watt inverter we have.
I do recommend a better pure sine inverter however (Samlex brand comes to mind)
Anything will be suitable, yet I do recommend a cheap extended warranty because of RV use.
Just cruise Amazon, Fry's or Walmart for choices.
Amazon or Newegg are really good for reviews on televisions.
Flat screens are really low in price these days.
Good luck there.