I don't. I listen to whatever. I mean that very seriously, not like that person in High School who says they like everything and then you make up a fake band name and they say "Oh I love them!"
I grew up around rockabilly: Johnny Cash, Jerry Lee Lewis, Elvis Presley, Carl Perkins, Roy Obrison, Hank Williams and Chuck Berry. Artists of that nature...
But my grandma listened to Frank Sinatra, Dean Martin, Sammy Davis Jr. you know... Rat pack stuff. But she also listened to artists like Ray Charles, Quincy Jones and B.B. King
I picked up on 70's era rock from my dad: Led Zeppelin, Tom Petty, The Doors, The Who, Hendrix, Joplin, Pink Floyd, Black Sabbath, Queen, Lynyrd Skynyrd, CSN&Y, Elton John, Billy Joel and even some Beatles stuff.
My mother loved the Rolling Stones, Bowie, Queen, Fleetwood Mac etc.
I found punk very intriguing after listening to The Clash. So I picked up stuff by the Sex Pistols, Ramones, Dead Kennedy's etc. Through that I found pop punk stuff (which I liked better than actual punk) So Fallout Boy, Lucky Boys Confusion, Rufio, Cartel, HelloGoodbye, Starting Line etc.
Eventually I started talking to indie girls and seeing what they liked (mostly because I found them cute) That's how I found Ok Go, Mae, Copeland, Straylight Run, Something Corporate, Jack's Mannequin, Gavin Degraw etc. Also known to me as "piano rock"
I started looking for something different and stumbled upon bands like Saosin, Atreyu, Every Time I Die, Maylene and The Sons of Disaster, Gallows, Norma Jean, Underoath, August Burns Red, Devil Wears Prada... etc.
Not too long after that I started listening to hip hop. This one has stuck with me the most... Common, Twista, Old Kanye (first 3 albums only), Jay Z's Blueprint albums, Eminem, Kid Cudi, Wale, Drake, Childish Gambino, Lupe Fiasco, Kendrick Lamar, Chance The Rapper, Future, MGK, Mac Miller, and a very little bit of Wiz. I don't smoke nearly enough pot for Wiz...
But I still listen to everything. I just find that certain music fits certain moods and situations better.