Should be no problem...
While we almost never watch TV there have been a couple of times when weather kept us indoors for most of the day so wee watched a game orDVD to pass the time. I bought my 150 watt cigarette lighter style inverter in 1994 {for use on a boat trip to Mexico} and paid about $100 for it. It still works just fine and will run our Vizio 32" LED flatscreen TV AND the DVD player with no issues.
As noted above running a generator just to watch TV is less than neighborly {trying to be polite here} and a close second on the self-absorbed scale are folks who run the genny just to make a cup of coffee... Seriously??? :S
:R