Italian director Michelangelo Antonioni's film Blow Up, from 1966, left a lasting impression on me. Its depiction of mod-cool, sixties London, is aesthetically on point throughout its entirety -- and that's not even taking in consideration the actual (murder mystery) plot, which itself is both meandering (in the style of sixties art-house) and engrossing.
The Music: The majority of the film is scored by Herbie Hancock, which, while appropriate, pales in comparison to become a member or log in.