Well I usually listen to modern indie-rock/alternative types.
But for things I like out of the ordinary, well for me there's a few styles that stand out.
not in order of preference
1. Fela Kuti
I first heard him on a special to mark his death on a local radio station and on an Ad selling one of his collections, that was my first recollection of hearing afro-beat and I suprised myself by really getting in to it. I've since started buying his older albums and I even like his "politic" period of music. But with the amount of albums he's released I've still got a lot more to get.
I think it's soothing in it's own way to me, it also makes me twich like I want to get up and dance.
2. Big-band 30's-40's music
I first got into this era of music playing a WW2 game which had a gramophone option and I collected era music & news radio broadcast to add to the immersion.
Some of it's relaxing, some of it's jivey.
Notables for me a Ella Fitzgerald, the Andrews Sisters, Marlene Dietrich & Glenn Miller.
3. My Mum's music
Basically I add this because my mum's taste in music has been imprinted into my head, from when her & dad used to listen to records at midnight and my sister & I were kept awake by the volume

.
Obvious bands are the Beatles/Rolling Stones Barry white etc but also others like Harry Nielsson, Boz Scaggs, Gordan Lightfoot, Carol Bayer Sayer, Chess (the musical by the Abba men), Richard Harris, Niel young etc.
So from daily listening to bands on the radio like The Hives, Hilltop Hoods & The White Stripes etc to being at home and feeling like putting on the bands I enjoyed in my late teens: The Pixies, Soundgarden, Faith No More & You Am I etc. I like to break it up when I get the feeling like listening to something totally different, be it Fela Kuti or Carol Bayer Sayer.
Sometimes just listening to some of the odd music puts be in another time/place, like Ella Fitzgerald & Lious Armstong's: Dream a little dream of me. That song always puts be on the deck of a boat out to sea at night.
So I consider my tastes in music far ranging and diverse.
