what begat my love for contemporary music first started with old classical composers, primarily Bach, Beethoven, Tchaikovsky, Dvorak, Smetena, Sibelius, Strauss and Mahler.
What changed this habit of listening to classical composers was the early music of Arvo Part. Before his tinntinubulum stage where he was writing serial music with lots of extended techniques on the instruments. It was his symphonies and cello concerto that sold me and then from there I back tracked to Stravinsky, Schoenberg, Webern, Messiaen, Takemitsu etc.
I remember listening to his cello concerto and just being frightened and in pain, but now I'm not afraid of it, I infact relish in it lol Elliot Carter's string quartets also have a similar effect on my psyche.