Gosh! That is hard. I might say what I don't like is a shorter list --- Fusion Jazz, Hip Hop, Rap, most PoP music. I hate Duran Duran, The Thompson Twins, and most of the Alternative crap of the 80s. (Adam Ant, Loverboy, George Michael and Wham!, Madona, etc.) And Disco. I don't like disco, but darn if that beat isn't infectious.
I was raised on the Kingston Trio, Glenn Yarbourough, The Limeliters, The Smothers Brothers, etc. My parents were more of the Beatnik generation, but still young enough that we listened to alot of Peter, Paul & Mary, Bob Dylan, John Denver, etc. I knew all the words to all the songs in Hair by the time I was in 1st grade. My dad was a folk/blue grass musician who also played a mean Spanish style classic guitar. By mean, I mean that literally! He whapped me upside the head with a Guild 12-String in 1974. Yeowch!
My iPod on shuffle is very confused...
My music collection consists of:
Rock (60s/70s Deep Purple, Allman Brothers, Uriah Heep, etc. etc. etc.)
Metal (Pantera, Megadeth, Metallica, Anthrax, Motorhead)
World (Omnia, Prem Joshua, African folk music)
Blues (Chicago and Delta are my fav styles, I have a lovely collection on my iPod, Billie Holliday)
Country (George Strait, Merle Haggard, Tex Ritter [don't laugh], Hank, Sr., Hank, Jr., Waylon Jennings, Johnny Cash)
Folk (Peter Paul & Mary, Huddy Ledbetter, Limeliters, Kingston Trio, John Denver, Smothers Brothers, Joan Baez, Woody Guthrie, Gordon Lightfood, Joni Mitchell. AND MORE!!!)
Classical (Mozart is my favorite, Berlioz, Gershwin, Segovia)
Big Band (Glenn Miller, Dorsey, Goodman, etc.)
Blue Grass
Grunge (Pearl Jam, Nirvana, Soundgarden, Alice in Chains, Temple of the Dog...)
Funk (George Clinton, Parliament, Ohio Players, Morris Day & The Time, Sly & The Family Stone)
Punk/Alternative ( Ramones, Sex Pistols, The Presidents of the United States of America,
Individuals: Prince, ,Stevie Ray Vaughn, KT Tunstall, Eric Clapton (I have a lovely Clapton collection),Neil Young)
Oldies (Dean Martin, Sammy Davis Junior, )
Deep Purple --- I had ALL their albums, even ones released only in Europe. I also had every incarnation...Blackmore's Rainbow, Rainbow, Ritchie Blackmore & Rainbow. I will admit it here, only if you promise not to tell, that my #1 idol of my teen years was Ritchie Blackmore. When Blackmore's Night was here locally, I was horrified to find out AFTER the fact.
where all the musicians seem to be playing from different music sheets 
I've no doubt there will be some reading this saying Abba - oh no..............!!!
(Seen Distant Worlds twice!!)