I wouldn't say there was any music I don't 'get'. There some genres I appreciate more than others, and there are a couple of sub-genres I don't care for at all, most of the time (mainly death metal and gangsta rap), but none I don't 'get'.
I am okay with pretty much any kind of rock that does not include that from-the-depths-of-hell screeching, including heavy metal/black metal that is not of the screeching variety. My go-to sub-genres of music falls into this category: alt rock/hard rock/grunge rock/non-screeching metal. Anywhere along that portion of the spectrum is where I call home.
I am also okay with pop, though I probably would pick classic pop (say, Elton John or 80's New Wave) over some of the pop being generated today.
I'm not a big fan of techno/electronic, but I can take it in small doses.
I'm not a huge fan of Country/Western, although I do like Garth Brooks, The Dixie Chicks, and classic Alabama. The twangier it gets, the less I like it.
I love classical music - symphonic, chamber, opera - you name it.
I can take Rap & Hip Hop in limited doses...but that means really limited doses. And I won't listen to gangsta rap at all.
I'm good with R&B/Motown, Jazz (both classic and contemporary), etc.
I'm okay with reggae, again, in limited doses. Ditto various other types of world music.
Music is art...and I don't think you have to like everything. But I do think it's good to try new things, even if they turn out not to be for you, since it's the only way you will discover the gems you might have missed otherwise.