If I'm playing soloq for rank I usually don't have music on so I can better listen for sound cues (special activation, chip damage, etc.). Sometimes if I start tilting really badly, I'll put on 2000's-early 2010's pop (will.i.am, David Guetta, LMFAO, Pitbull, etc.) so I can boss up.
My teammates and I take turns on call with "DJ-ing" (telling the bot what to play). Depending on whose turn it is, the music could be anywhere from Bossa Nova, Vocaloid, Tame Impala, to FNAF fansongs. We also listen to kids' music to de-tilt ("Hokey Pokey," etc.)