We pay a TV license annually, not a one-off tax. The BBC receives no government funding, which helps ensure its impartiality.
https://en.wikipedia.org/wiki/Television_licensing_in_the_Un...
https://en.wikipedia.org/wiki/Television_licensing_in_the_Un...
The Wikipedia article you link to states "The money received is first paid into the Government's Consolidated Fund. It is subsequently included in the 'vote' for the Department of Culture, Media and Sport in that year's Appropriation Act, and passed back to the BBC for the running of the BBC's own services (free from commercial advertisements)."
How do you see this as "no government funding"?
Makes for great public media in many cases.
Those could very well be provided by the private market.