Sandra gives a letter to the man who sits next to her at the theater. A close-up shows the man holding the letter with both hands. The next shot shows the man holding it only with his left hand.
When Sandra gives Robert her friend's photo, he holds it with his right hand and then exchanges it to his left. But he is now holding it with both hands on the next cut.
At the end of the film, the orientation of Robert's arm as he holds the cigarette at the bar changes from one cut to the other.
Van Druten asks his housekeeper to turn down the volume on the music playing from the gramophone record. Early horn type gramophones had no volume controls.
The poem read by Inspector Temple to Julian Wilde is from "Harmonic du Soir" by Lord Alfred Douglas, not Baudelaire, despite the fact that he is holding a copy of "Flowers of Evil" (Fleurs Du Mal), a collection of Baudelaire's poetry.
Taxi Dancing was an American phenomena and wasn't something that existed in the same way in the U.K. There would have been paid hostesses in private clubs but there were plenty of dance halls where people chose to go to, to dance and meet a special someone.
Sandra says "I need the money, Mr. Van Druten. I haven't a cent". Some have noted that this phrase, utilizing the word "cent", wouldn't be used in London where this is set. However, Sandra is an American, so it would be very likely that she would use this phrase.
Sandra's British Scotland Yard ID describes her eye and hair colors. They are referenced as "color", which is the American spelling, instead of the British spelling, "colour".
The film is set in London and uses a London newspaper as part of the plot. The personal column advertisement includes "catalog", which is the American spelling of the word.
There are no lenses in Sir Cedric Hardwicke's eye glasses. In the library scene this is very noticeable. When Charles Coburn puts on his glasses the lenses are easily seen and they reflect light, unlike the pair Sir Cedric is wearing.
When Julian tell Sandra "...he chose death", Sandra silently says the line with him.
Despite the London setting and addresses the personal ads are all written in French. The film is a remake of a French film.
When Sandra goes to visit Julian towards the end of the movie, they have a conversation, and when Julian says, "That's why he chose death," you can see that Sandra is saying something we don't hear.
Sandra, a taxi dancer, is enlisted by Scotland Yard to help catch the killer. Within a short period of time, she is appointed to be a detective and she is issued a gun. This all happens without an interview or any training. At Scotland Yard, firearms are only issued to senior officers, and most certainly not to a recruited civilian such as Sandra.
Around 29:24, when Sandra and Charles step off the stage, a shadow moves to the left of Ms Ball. It's the shadow of a moving mic boom.
At about 0:57:00 right before Sandra says "Oh, don't kid me, Mr. Maxwell" the boom mic shadow briefly moves on the wall next to the mirror to the left of Alan Mowbray.