The problem for BBC is that it's government-funded. It can't really take a stance without potentially upsetting the next government.
That's not factually accurate. The BBC is principally funded through the licence fee (i.e. directly by the viewers).
Unfortunately I don't think there's a single such organisation in the world-- controlled-by-members newspaper. Even almost-controlled-by-members newspapers here in Sweden aren't fully subject to member control, with this typically being indirect through some board or similar organisation.
This is the precise opposite of what would be required.
The Guardian's ownership is independent
The Guardian's views are very much not. Very predictable