The soundtrack composed by Jack Nitzsche is beautiful, especially with cues like "Starman Leaves (End Theme)".
That song was covered even more beautifully by the City of Prague Philharmonic Orchestra, whose version of the ending theme was sampled by British wonky pop artist Dan Black for his song, "Symphonies".
Fridge Brilliance: When you realize that Starman is in fact an Energy Being, it makes sense that Jenny could not come with him. His race could probably live anywhere - airless rocks, gas giants, the photosphere of stars, even the vacuum of space itself - and would have no need for life support on their ship.
Retroactive Recognition: M.C. Gainey (years before finding fame on Lost) is one of the cops who tail Jenny and Starman at the hotel.
Special Effect Failure: Though impressive at the time, Starman's transformation hasn't aged gracefully over time in a world where digital morphing is now possible. While the puppet effects by Rick Baker and Stan Winston still hold up well enough, the main issue lies in the transition effect from puppet to actor courtesy of Dick Smith, which looks very much like a bad Stop Motion effect.