This film is considered an undisputed classic. It's also part 1 of one of the greatest trilogies in cinema. People like to exclude part 3 when recommending this film but in my opinion part 3 isn't all that bad.
Synopsis from IMDb:
An organized crime dynasty's aging patriarch transfers control of his clandestine empire to his reluctant son. The Godfather "Don" Vito Corleone is the head of the Corleone mafia family in New York. He is at the event of his daughter's wedding.