My collection is pretty large, and so much of it I place on pretty equal footing as far as quality, so it would be almost impossible to pick out one "most played song".
I will break it up among the 3 different genres I listen to.
Here are my best guesses:
Prog: YES - Close to the Edge, or King Crimson - Larks' Tongues in Aspic, or Banco - Io Sono Nato Libero
Jazz: Mahavishnu Orchestra - Eternity's Breath (Parts I and II), or maybe: Return to Forever - Duel of the Jester and the Tyrant (Parts I and II)
Classical: Bartok - Music for strings, percussion and celesta, or maybe: Elliott Carter- Concerto for Orchestra