I think one of the issues with the BBC at present is that they are perhaps over compensating.
I'm not sure its purely Tory bias (though there is a lot of that). Nor pro-kipperism.
The BBC are overwhelmingly ABC1 and educated and middle class. This means that there is a lot of very pro-EU, pro democracy types.
The people I know who work for them (including one on a political programme) are actually very left wing and middle class with very little exposure to northern working class types.
In trying to represent the views of 'ordinary working class' people - particularly northern they don't understand they have over cooked it. They struggle to represent the nuances of various working class groups and lump them altogether. This has helped UKIP enormously to gain ground it perhaps never would have.
I personally used to read the BBC website every day. It was the first thing I'd do when I logged in and it was rare I didn't. When I lived abroad it was a lifeline. But things have changed, and I no longer see it in the same way. Twitter has filled that void and I now try and take the 'gate keeper choices' over what I read rather than let the BBC dictate that.
The trouble with that, is that not everyone has the bullshit detector which is why fake news has crept in.
The BBC is desperately trying to adapt to the changing technology and its own lack of diversity which is affecting its ability to report and be trusted in the way it was in the past.
Its not succeeding terribly well at the moment.