My parents are both Christians (so am I) so they care more than normal parents probably would.
When I first started listening, I told them I only liked the music and didn't like the "screaming," which was partially true but then when I told them I like everything now, they kind of thought that was weird.
My mom doesn't like 99% of it...she found some issues of Metal Maniacs and Decibel and didn't like that it had stuff about Satan and cussing in it but I explained to her that I'm not into the music because I love Satan and explained how important it was to me. Lol.
Anyways, my mom hates most of it and usually tells me to turn it down or looks at me weird or says "How can you like that stuff/devil music?!" etc. She does like some of the Post-Rock stuff and Kaki King though.
My dad loves music but he likes Christian and Jazz mainly. I show him bands but he usually doesn't seem interested and wants to talk instead of listening to the album when we're in the car (I hate when he does that). He doesn't like most of it.
He's liked some bands: Turisas, Ensiferum (a little), Wintersun (a little), Symphony X, Epica (he really liked them live even though I'm not a huge fan), Alcest, Agalloch - The White, Ayreon, Green Carnation, Kaki King, and the post-rock stuff.
He is going to the Kreator show with me tomorrow since "they don't scream."