We have the ABC (Australian Broadcasting Commission) which is pretty similar to the BBC as it is publicly funded but the funding comes out of our taxes so we don't get charged a bill. I guess it means students and pensioners aren't paying much for it as they probably don't pay much or any tax but wealthy people would be paying more towards it.
I'm a fan of the ABC, we get a lot of BBC shows but also a lot of local content. They have two kids channels as well and my kids watch way too much of it.