My not using the BBC/Live TV/Live radio etc has as much to do with the way I consume media as the content I consume.
I rarely watch any media, I tend to read, listen to music, work etc instead. On the rare times I do watch media, I want things I enjoy to be on now. I don't want to have to remember to record them or wait until 8pm for them to start.
Netflix, Amazon, YouTube provide that. They also make it easier for me to find what I want. I don't have to scroll through hours and hours of Master Chef et al to find something watchable. Both providers suggest things to me based on things I've watched previously.
What I normally do is start a series. Once every few days, I'll feel like watching an episode. I might binge watch on a Sat night. Once that series is done Netflix immediately offers me three or four similar shows. I find their content to be more geared towards my tastes.
When I listen to music I want only music I enjoy and I don't want to wade through minutes of over paid DJ's waffle to get to it.
I don't watch any live TV or listen to any radio because it's format is not convenient to me and the way I consume media.
I'm sure the BBC does show things that might hold my interest, however I have no interest in spending the time searching for that content, waiting for it to start or paying Sky or Virgin for the ability to record it when I can access more content that suits me, for less money and more conveniently via Amazon, Netflix and YouTube.
I resent that I am suspected of criminal activity and expected to allow strange men into my house to prove my innocence simply because I don't find the BBC to be good value, entertaining or convenient.
I resent that I cannot have a FreeView box available should I decide that yeah, actually I do just want to loaf in front of Comedy Central tonight without paying £147 for the privilege.
I also feel a bit squicky about funding a company that covered up child abuse for decades and panders to the Tories.
As an aside because of this thread my YouTube suggested videos is filled with licencing goon videos. There was one where the BBC insisted on speaking to a horse 
They'd been sending threatening letters to a stable. They couldn't deal with the owner of the stable, only the occupier, no matter how many times they were informed that Harry the Horse was unable to use the telephone on account of being a horse 
I think that video is the first time since Button Moon that the BBC has entertained me.