I enjoy 20th- and 21st-century classical music.

Here are some of my favourites on youtube (with a wikipedia link on the composer):

Prelude and Allegro for Organ and Strings by Walter Piston

Equus by Eric Whitacre

Symphony No. 3 Movement III by Philip Glass (I like the whole symphony, but I could only find the third movement (which, in my opinion, is the best anyway))

Symphony No. 3: Movement I, Movement II, and Movement III by Arvo Pärt

Cantus in Memoriam Benjamin Britten also by Arvo Pärt

Basically anything by Arvo Pärt.

What is your favourite kind of music?