One key factoid about "Play Misty for Me" that younger viewers will not likely know: Eastwood used Roberta Flack's "The Last Time Ever I Saw Your Face" within the soundtrack of the film.
"The song was popularized by Roberta Flack in a version that became a breakout hit for the singer in 1971/1972, albeit as a sleeper hit more than three years after its original 1969 release on her album First Take, due to being included in Clint Eastwood's 1971 directorial film debut 'Play Misty for Me', ultimately topping the Billboard Year-End Hot 100 singles of 1972 more than three years after it was recorded. It is possibly the only sleeper hit to accomplish this feat." - Wikipedia.
This was along the same lines as "As Time Goes By" used in "Casablanca" (although "Play Misty for Me" doesn't have quite the popularity). Written by Herman Hupfield in 1931, it only attained popularity/immortality when Dooley Wilson sang it in "Casablanca".
Also, in the film you can see the great Cannonball Adderley Quartet performing: Cannonball on alto, his brother Nat on cornet, Roy McCurdy on drums, Walter Booker on bass, and Ja pre-Weather Report Joe Zawinul on Fender Rhodes Piano.
By the way, Andy, The Eiger Sanction plays in Zurich during its opening sequence, not Munich. I quite like the film by the way, which also has a great John Williams score.