Also publicly funded TV tends to be way better. They have somewhat more accountability so especially news, politics etc tends to be much better. For leisure programs that varies a bit more by country, but obviously the BBC has produced a lot of great stuff.
It did well for a long time. The BBC produces a lot of excellent programmes. It was also unafraid of holding the government's feet to the fire.
Unfortunately, the Tories successfully gutted it about a decade back. It still produces excellent programmes, but is neutered politically.
As for the licence fee. It is effectively an extra tax. However, if you don't watch TV, you don't have to have a licence. It's not perfect, but better than just a flat tax. It also helped keep them semi independent of the government.
They're making fun of how Brexit was pushed on a platform of getting rid of overstrict EU regulations and bureaucracy (as well as a lot of overt racism) but it turned out a load of it was just homegrown British bureaucracy that had nothing to do with the EU but UKIP voters kept complaining that anything they didn't like about Britain was the fault of the EU anyway