Anachronisms: The American flags visible in the 1917 street carnival should have 48 stars, not 50.
Revealing mistakes: When Vito Andolini's mother hugs the dead Paolo, he moves his hand
Miscellaneous: During the Cuban rebel uprising scene, a store is looted while Michael Corleone makes his escape. Something is stuck to the camera lens and can be seen as a silhouette on the screen.
Revealing mistakes: The supposedly dead prostitute can be seen breathing by the movement of the white sheets.
Continuity: When Michael makes up with Fredo at their mother's funeral, the ashtray on the table by Fredo moves farther away.
Continuity: When Michael returns from Las Vegas after Christmas, he is carrying a briefcase in one hand, and nothing in the other hand. As he walks into the house, he's holding the briefcase in one hand and a lit cigarette in the other.
Continuity: Shortly after the assassination attempt on Michael in his bedroom, he meets alone in a room with Tom Hagen. They sit at an empty table. After talking for a few minutes, Michael offers Tom a glass of wine from a bottle that is now on the table.
Plot holes: After Vito kills Fanucci, he holds his baby Michael in his arms. Vito killed Fanucci in 1919, and Michael was born in 1920.
Audio/visual unsynchronised: When Vito and Genco go to the theatre, and watch the 'Senza Mama' show, the singers voice is clearly out of sync with the words of the song.
Continuity: During Roth's birthday party, the pattern on his shirt changes. Due to weather difficulties, the two minute scene took over a week to shoot and the original shirt was lost at some point. The production designer attempted to recreate it by drawing an approximation of the pattern onto a plain shirt, but it didn't quite match.
Anachronisms: The original color of the Statue of Liberty was bronze since it was made of copper. It was the air and salt water that caused it to lose luster. At the time Vito Andolini comes to American, the Statue of Liberty would not be a bright green.
Errors in geography: When the boat pulls up to take Fredo and young Anthony fishing at the Lake Tahoe estate, the boat's registration ends in AK, which means it is registered for the State of Alaska. The setting of this particular scene was Nevada.
Crew or equipment visible: When Vito is driving and Fanucci hops onto the car, another car passes between the camera and Vito's car - Coppola and the camera can be seen reflected in the car's window.
Continuity: The pen and pad of paper on the desk during the argument about Kay leaving are both gone when Michael returns to get a cigarette.
Continuity: When Michael and Kay are in their bedroom after the party, Michael is looking out the window, and below him is a mirror that shows Kay's reflection. When Michael ducks to avoid the wave of bullets that comes through the window, Kay's reflection disappears.
Continuity: During the film's second-to-last scene, set on Vito's birthday - Dec. 7, 1941 - when Michael is explaining why he joined the Marines, Vito's birthday cake disappears. Immediately afterwards, during Tom's Hagen's speech telling Michael about how he and the Godfather had discussed "plans" for Michael's life, Fredo disappears.