Yes, 100% I would if it could remain (or go back to being) independent of the government of the day.
For many years the BBC was the envy of the world, and in parts of the world it still is. I have seen news (print and TV) in areas where the is no alternative to the ruler and the dominant religion, and there is just no comparison to what we have, even at its worst.
I'm not sure how it would be financed, as now that there are so many other options, and a lot of people prefer to watch films, sport etc than want to see unbiased news, there would probably not be enough take-up, but I would like to see the BBC able to operate without government subsidy and without any large donations from vested interests.