Continuity mistake: When Maria is hitting Tony while saying "Killer," her hair is across her left cheek. In the next shot, it is completely away from her face. (01:48:20)
Visible crew/equipment: During the scene when Cliff's girlfriend is walking down a street singing, if you look carefully there is a gap between two of the buildings through which you can see the scaffolding holding the set up.
Audio problem: When the airplane door is opened and we see Elvis kissing the stewardess in the doorway, you can hear a crowd of fans screaming - it is brief, but audible. (00:05:25)