My taste is semi broad, I like everything except: Rap, Country and Opera music. There a couple I like from each of these genres, but in general I don't like these genres.
Rap isn't bad when the content is good. When its all about money, hoes, and blwjobs; I can't stand it.
I was raised around country music, so I occasionally listen to it. I don't really care for the new-ish kind of country music like tailor swift (if thats what you call it, my local radio station does)
Opera I never really considered recreational music. I always thought of it as performance art like classical rather than something you put on your ipod.
It's one thing to have a good knowledge of a broad range of styles, and choose to listen to a wide range of styles. It's quite another to merely tolerate a wide range of music when it's played in your presence.
I think I have a broad range, but I may be wrong.
I think "broad taste" means that you actively
like that kind of music, rather than just accepting its there.