2001: A Space Odyssey (1968)

Save it until you have learned to trust Kubrick's patience, because this is where he asks for the most of it. There are fewer than 40 minutes of dialogue in the whole film, and the story of the monolith, the voyage and the calm, watchful computer HAL is told mostly through image, music and scale. Kubrick wrote it with Arthur C. Clarke, and watched at this point on the route it plays as the culmination of the precise compositions you have been tracking since The Killing. It brought Kubrick the only Oscar he ever won, for its visual effects. See it on the biggest screen you can find.