With Gigabit LAN, I'm using Sunshine on my PC and the Android Moonlight client on the TV.

For Input, I've a Logitech K400 via USB dongle on the TV and Xbox controllers via Bluetooth.

Is there a slight lag? Yes. Are the majority of games I want enjoy on the couch and play on the big TV playable? Absolutely. I wouldn't play CoD but many many games just work well even with a Little lag.

PS: can also recommend playnite, giving a unified tv/Controller experience with access to multiple game stores , local Games and emulator support.