I’ve got a ridiculously large number of recommendations for metal and punk bands with women in them, but not nearly as many recommendations for ones with POC unfortunately. I know that there are US punk and metal bands I like that have POC in them, but I’m bad about remembering exactly who is in a band and the only one coming to mind right now is Algiers.
Algiers have a super cool sound, it’s really good post-punk with some gospel splashed in, I’d highly recommend them.
There are also some awesome Japanese metal bands out there.
Boris is an experimental Japanese metal band and their lead guitarist and sometimes vocalist Wata is a women and amazing. They are excellent, easily one of my favorite metal bands and they change up their sound a ton ranging from super heavy drone to pop rock. There is so much variety it’s basically impossible to pick a representative album of theirs, so if you don’t like this one there is a decent chance you will like some of their other stuff.
Les Rallizes Denudes was a Japanese noise rock band that was super ahead of their time. '77 Live is an absolute classic.
There are a lot of good metal bands with female lead vocalists out there. Here’s a couple albums I like. My favorite band in this list is probably King Woman, but since you like the 80’s stuff I feel like you might prefer Christian Mistress or Windhand.
Women in punk music is a rabbit hole I could go down more or less endlessly but I’ll try to keep it (sorta) short.
Sleater-Kinney are unbelievably good. The Woods is one of my favorite albums of all time.
White Lung is my secret weapon when going to the gym. Nothing gets me fired up as quick as they do.
EMA is a great, although The Future’s Void always kinda stresses me out (in a good way I think?)
Kim Gordon is amazing. Her work in Sonic Youth is fantastic and she has done a lot of good stuff outside of them as well.
Similarly Kim Deal is great, both her stuff in the Pixies as well as The Breeders.