I have pretty eclectic taste when it comes to music, although I did go through my phase when anything I didn't like - such as disco - sucked, subjectively and objectively. As I've aged, I've mellowed in my opinions. I can even listen to ABBA, in small doses.
I never really cared for Prince's music, but I respect him as a musician. His guitar playing skills alone were amazing.
When I first heard Rap, I figured that it was a genre invented so that people who couldn't sing could still become "musicians". Although I still find it virtually unlistenable, I don't pass judgement on it anymore, as I'm sure there is artistic merit to much of it. Just because I/we might not like it, doesn't mean it's objectively bad.
I like classical, jazz, blues, some world music, rock from all decades and sub-genres, folk/traditional/Celtic/Americana. I like some country, although pretty much all of the artists I like have been dead for a while.
There are quite a few current Indy artists that I like. Good music is still being made, but it's difficult for newer musicians to make a living in the business.