I must say that I'm really sattisfied by the amount and diversity of opinions that I got until now. Even though I haven't answered for almost a week, I was checking this a few times per day.
So far it would seem that the responses fall into one of the following 3 categories:
- Some came up saying that they don't like BG like me but not necessarily for the same reasons
- Some say I should not care about not liking BG, should definetely NOT force it and I should listen to anything else that I like
- And some say that maybe I could start from their earliest works or even forget about it for now and wait until the right moment (I will know when that is).
I thank you for all the opinions. The main reason behind this post was that I had the feeling that I was missing something that is really worth the effort and got a bit panicky.

But I think after all I will stick to your suggestion and just leave it for the moment. There are thousands more bands to listen and like (or ignore if it's required).