"I can't read music, don't play an instrument, and have great difficulty singing in key. I'm fated to be a philistine forever."
Get "Amadeus" and watch it. Then get Ingmar Bergman's "Magic Flute" and watch it.
Then, figure out which of your friends know anything about classical music and hang out with them.
Failing that, try to find some ethnic music you like: Latin American, Middle Eastern, Indian, American jazz.... That's great stuff too.
Joanna