I thought lots of countries had state broadcasters? Not many of them on the scale of the BBC though. I'd agree that the BBC is too big and does a lot of stuff it really shouldn't. I'd sack off stuff like R1, R2 and local radio, BBC3 etc but that's all down to personal preference.
If I was an 'independent' media outfit I'd also ask what they're doing competing in the commercial space with UKTV (Dave, Yesterday etc). The BBC will argue that no licence money goes into them but I think they often monetize stuff that was made with licence money - which is a good/bad thing depending how you look at it.
On balance, it's far from perfect but I'd rather it was there doing news and journalistic stuff than have to rely only on Sky, GBNews etc.