Movie: _Forbidden Planet_
Books: _Childhood's End_ by Arthur C. Clarke
_Martian Chronicles_ by Ray Bradbury
_Contact_ by Carl Sagan. I liked the book better than the movie. The whole thing with pi was fascinating, but I was completely dumbfounded by the revelation of the circle of zeroes. (Or was it ones? I forget.) I really didn't expect Sagan to get that metaphysical. He, of all people, knows that if you allow yourself trillions of random digits, and you can choose the dimensions of the digit grid, and any number base you want, you will find some highly improbable coincidence. If a trillion bridge games were played, sooner or later someone may get all 13 cards of one suit on the deal. It's not a miracle. (If you ever get 13 hearts, diamonds, or spades, do NOT bid seven no-trump!!!!)
Edit: Oh, and the pendulum bet. I was surprised Sagan didn't suggest the simple solution of just closing your eyes. Now if someone required you to keep your eyes open, that's not really a fair test, because in that case instinctive reflex may overwhelm faith, (or knowledge).