Vertigo (1958)
Alfred Hitchcock has tons of famous and popular movies, and Vertigo is definitely one for the ages. This film follows an ex-police officer who is hired to try and prevent his friend's wife from committing suicide. In true Hitchcockian fashion, this case is not what it seems.
Vertigo is definitely considered one of his masterworks. The banter between the characters and the constant twists and turns in the storyline make this an evergreen movie that generations of folks can enjoy.