In the waiting room scene the yellow pieces of paper Fran is holding disappear.
Joan Van Ark says: "See voo play" for S'il vous plaît". She ought to have pronounced the L as in "Sill voo play".
When Miss Fine, Mr. Sheffield, and Miss Babcock are arguing on the terrace, their lip movements don't match what they are saying.
In the very first scene, when C.C. is telling Max how quiet the place is without Fran, Charles Shaughnessy (Max) is seen trying to suppress his laughter and---failing that---smiling broadly, incongruently for the scene and his character.