Re: The BBC used to be more independent.
I must agree. Most people who talk about something being biased mean that it doesn't exactly match their own opinion.
I have, personally, noticed a slight left-leaning bias on the BBC (and I'm slightly left-of-centre in my political opinions). Most of the rest of the complaints I see have been either;
a) Someone with extreme left- or right-wing views disagreeing with a fairly neutral analysis, or
b) People complaining that the BBC is showing Remain bias (when it is normally just reporting on the opinions of experts, most of whom believe Brexit will be economically damaging)