The Cosmic Man (no wikipedia entry for the movie, but a short explanation of one part of Jungian theory...) is a 1959 science fiction film starring John Carradine in the title role. Paul Sawtell and Bert Shefter did the music, which is appropriately science-fiction-y. They also did It! The Terror from Beyond Space.
The characters talk about Univac: "I can run some figures through Univac..." Cool! I do wish the woman didn't scream so much.
TCM has an overview. DVDTalk reviews it, saying it "follows the Day the Earth Stood Still's pacifist space visitor script template" and calls it "ok". They say it "ends up as an inoffensive movie that might have been special if it were given a little more care and sensitivity in the direction department."
4/15/2009: Classic Sci-Fi Movies blog has a review.