I use a 350 watt psw inverter to power our 40" HDTV, HD satellite, sound bar or Bose, Blu-ray and game players. A 1K or 2K watt inverter is overkill for these entertainment items.
Adapters can be used for any size portable generator to provide power to a 30amp or 50amp rig, available at Walmarts, Camping World and most any RV dealer. The also come in handy for deteriorated shore power pedestals.
We have two 6 volt GC2 batteries from Samsclub and they will run our entertainment center for several hours daily, changing interior lights to LED allows for increased 12 volt usage before reaching 50% SOC.
Weather permitting our solar will usually charge them back up, roughly an hour of generator time quickly replenishes consumed amphours utilizing our rig's Iota IQ4 converter.
Running any generator for the sole purpose of tv watching is, as you stated, noisy and simply inefficient. We use our genny for high current draw items such as microwave, AC, heated hair appliances and so forth.