hi anon! omg im so glad you asked... ill try to list as many here but i may forget some:

Miharu: Soft music, JPOP and idol music, along with cute "coquette" artists like lana del ray

hadzu: Rock, metal, eroguro-kei (in universe she listens to Rui-sama, an eroguro-kei soloist), along with western nu metal.

kirara: idols, jpop and kpop, some english artists as well

nana: video game osts, along with idol (mostly male idols) music. Whatever hideo listens to.

mao: She likes rock and metal music due to sarith, but she also likes vkei music due to ritsu.

yunoa: cutesy music, video game osts, anything that wont hurt her ears or scare her.

iori: he's the type to say he listens to anything but deep down i think he likes love songs or romance songs of any genre- mostly as a coping mechanism but now because it reminds him of him and fuchirou.

chihiro: she listens to american bands the most, particularly panic! at the disco, fall out boy, my chemical romance, etc. also idol music because of fuchirou...

ui: western bands in general. but specifically emo bands, also nu metal. he also listens to vkei and is a big fan of veil=blood.

ramona: rock, british and classic, any type really. funnily enough, she has the same music taste as Cesar.

anthy: indie, video game osts, musicals... anything calming.

purin: Veil=blood, rui-sama, denpa, lolicore... also anything noritake listens to.

chaska: nu metal, rock, rap... anything loud and heavy.