I have widely varying music tastes, and have a little of everything in my collection. Here are some you might be familiar with, or not. You might like, or not...
Check out
Globus, specifically
Preliator. If you want to listen to the whole song set to FF cinematics, see
here.
Can never go wrong with a little
Nine Inch Nails...
If you wish to try a little minimalism, try
Philip Glass.
Koyaanisqatsi is a classic.
This blog is all about music suggestions:
http://www.digitalcitrus.com/ I have found some good stuff there. Sigur Rós is mentioned on there, too, which is a great band from Iceland.
Check out
Badly Drawn Boy.
Justin Avery (we always said he'd be famous in high school)
Other stuff in my collection that may not fall into your "don't like" list or that you may not have heard before...
Beck
Billy Joel
Bjork
Brian Setzer Orchestra
Cesaria Evora
David Bowie
The Gladiator Soundtrack ("The Battle" is exceptionally cool)
Louis Armstrong ("We Have All the Time in the World" or - especially this - "What A Wonderful World")
Monty Python
Moody Blues
Moxy Fruvous
"This is Halloween" from The Nightmare Before Christmas
Procol Harum - "A Whiter Shade of Pale"
Radiohead
Rocky Horror Picture Show soundtrack
Rusted Root
Talking Heads
The Crystal Method
plus random classic rock, jazz, world music, etc, etc.