I like many of the movies, new and old mentioned here, although no one I think has mentioned the old-old ones that are among the great: Chaplin's "City Lights", Welles "Citizen Kane", Fellini's "La Dolce Vita", Griffin's "Intolerance", Kurosawa's "Seven Samurai", among so many others.
But I want to bring here a kind of movies I believe has not been mentioned so far:
Cartoons, animation, anime.
Among the best, in my opinion, all those by Studio Ghibli and specially the masterworks of Miyazaki's "Princess Mononoke" and Takahata's "The Tale of Princess Kaguya" and "The Grave of the Fireflies". Also by the late and much lamented Satoshi Kon: "Paprika" and "Perfect Blue" in particular. An numerous others around the world, including Disney and Laika Studios plus great shows such as "The Last Airbender" and the three "Violet Evergarten" ones, all of which have contributed greatly with this hard to do, magic-like art form to our one popular form of entertainment that has characterized in various forms (theater, tape, DVD, streaming) for over one century by now our modern civilization around the world.