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Incorrectly regarded as goofs
From the time the snipers fire their rifles until the glass breaks in the hotel room seven seconds have transpired. AT 2,500 feet per second that a bullet travels the snipers would have had to have been approximately 3.3 miles away. That would be an incredible shot.
When the camera cuts back to the room with Depp/Jolie, the scene is in slow motion. INCORRECTLY REGARDED AS GOOF: The 7 seconds in slow motion time is probably less than 1 second of real time. So, less than 250 feet distance.
When Elise is towing Frank from the boat in the water, you can clearly see him with unhand-cuffed hands pulling himself in towards the boat. In the following scene Elise is then picking the locks on the handcuffs.
When Frank climbs aboard Elise's boat having been pulled along in the water by the rope, his shirt is only mildly damp, not sodden as it would be in reality had he just been pulled from a canal.
The investigator takes a look at the computer and then calls Shaw to say 'Pearce' has gone to Venice. The computer however only shows his passport information, not his current whereabouts let alone his travel destination.
When Elise drops Frank off at the airport dock in the early morning, she is wearing a beige sweater and black slacks. As she boats away from Frank and across the bay, she has changed clothes and is wearing a gray dress, heels, and gloves, and it is much later in the day.
In most of his scenes, Acheson is referred to as "Commander", a senior rank in the British police force. By the end of the film, he is referred to as "Inspector" by Jones, who as a Chief Inspector outranks an Inspector but is junior to a Commander. Yet there is no scene showing Acheson being demoted.
At the end a perfect stated safe is blown up by a hand of explosives. Nothing is broken beside the safe, even the inside is intact. Real science fiction.
In the film's beginning, when the police are following Elise after she leaves the cafe and burns the letter, she enters a shopping area or possibly hotel where the truck can't follow. The officer in charge of the truck orders them to "drive around to the other side." But he had no way of knowing what she would do next: proceed to the other side, shop in one of the stores, reverse her course and exit the same way she entered (a common practice to avoid pursuit it movies), etc. So he should have left at least one officer at the entrance in case she re-exited through there.
As an American, Frank tells Elise that he's a "math" teacher. Elise replied, "I'd imagine you're the cool math teacher". Being British, she would have said "maths", not "math" in her reply.
The night Frank sleeps on the sofa he dreams about walking into Elise's room and kissing her.
The dream shows the interior of the room exactly as it is in real life.
However Frank has never entered the room to know what it looks like in his dream, so he would have imagined things differently to how they were in the room and not exactly as it was in real life, something he had never seen. INCORRECTLY REGARDED AS GOOF: When Frank first enters the hotel suite, he walks to bedroom door and seems a glimpse of the room via the mirror. Additionally, there are also several opportunities he could have entered the room (before dinner and after).
On the train schedule board Venice is spelled Venise.
The train is leaving Paris so the Schedule is written in French so Venise would be correct, as Venice is the English name. It should say Venezia if it's to be called by its Italian name.
From the time the snipers fire their rifles until the glass breaks in the hotel room seven seconds have transpired. AT 2,500 feet per second that a bullet travels the snipers would have had to have been approximately 3.3 miles away. That would be an incredible shot.
When the camera cuts back to the room with Depp/Jolie, the scene is in slow motion. INCORRECTLY REGARDED AS GOOF: The 7 seconds in slow motion time is probably less than 1 second of real time. So, less than 250 feet distance.
Frank escapes from the Russian's in his pyjamas and is later arrested. But when he is shown in jail he is now wearing a suit. INCORRECTLY REGARDED AS GOOF: He is still wearing the original pyjamas underneath a police jacket/blazer they obvious put on him to keep him warm.
When Frank (Johnny Depp) is running around on the roofs in Venice, in some shots you can see the tape around his bare feet to protect them from the roof tiles he jumps on.
While Elise is towing Frank's boat, as they turn a corner, Frank's boat, which is unpowered, rounds the corner as if being steered or guided, rather than swinging wide before getting dragged round.
When Frank and Elise are driving the boat along the canal together, the canal and cityscape is quite clearly a backdrop as the boat appears to be moving far slower than the surroundings
Shaw refers to killing his wife's lover as a "crime of passion" and explains that "under [England's] quaint legal system" he got away scot-free. The courts of England & Wales do not recognize "crimes of passion" (though many other European court systems do), although it may have been accepted as mitigating circumstances and have possibly contributed to a reduced sentence due to diminished responsibility. Shaw would still have been looking at a lengthy jail sentence for manslaughter, at best.
During the canal chase, when Frank is in the water, it is clearly visible he and the water aren't moving, except for a stream coming towards him to suggest he's dragged through the water.
Johnny Depp ties a loose "knot" to the boat when Jolie comes to rescue him. There is NO WAY that little knot would be able to pull that boat.
Jolie's boat had a broken windshield in the shape of a dog (sort of). It kept changing - at one point, it looked like a small circle.
At 35m 17s the balcony shot appears to 'pump'. Not the focus, but the frame itself. In and out. As if the camera mount is shaking forwards and backwards. Slight enough such that say 12" or more of focus depth of field is not affected by this motion.
In the train sequences early on, the trains shown are electric high speed trains. However the sound effects heard during the aerial shots of the trains heading from Paris to Venice are that of diesel power cars of British InterCity 125 trains. Similarly, in the train interior scenes, no overhead power masts can be seen through the windows. The lines from Paris to Venice are all overhead electric powered.
When Frank is pulled into the water while hand cuffed to the boat, after kicking off his attacker and being dragged into the distance leaving the gangster behind.
In the next shot, where Elise's boat is in the background, a camera operator/assistant can clearly been seen from emerging from the 'passenger' compartment of the boat.
After Elise leaves Frank at the dock you can see a shadow of a person in the boat she is riding.
When they are on the train going to Venice through a nice hilly landscape, the speaker says "Venice in 10 minutes". There are no hilly, agricultural landscapes near Venice, only a semi-industrial plain for tens of kilometers.
When Frank goes out on the balcony of the Hotel Danieli you can see the Rialto Bridge, which is not near or visible from the Hotel Danieli. This is because the Palazzo Pisani-Moretta, from which the Rialto Bridge is visible, was used as a "stand-in" for the real Hotel Danieli.
When Elise drops Frank at Venice airport the city is visible on the other side of the boat, which is not possible. The airport is quite far from the actual city/islands of Venice.
When Frank is walking on the roofs of Venice, he sees Elise at the other side of the Grand Canal, near the market, but a few moments later he is on that same side of the Grand Canal and jumps from the market building upon a market stall.
When Elise and Frank arrive in Venice at the train station Sta. Lucia, they embark a boat. In the counter cut (continuity cut), the boat is near San Zaccaria, two miles away.
When Shaw and his cronies follow Elise in their big boat, they unbelievably don't notice the similar sized police boat right behind them.
At the cafe in Paris when Elise orders her breakfast, the waiter says "un croissant beurre". On her plate, when she finishes reading her letter is a "pain au chocolat".
When Acheson visits Jones' office, the glass in the door says the office is of the Director of the Metropolitan Police. Jones is elsewhere referred to as Chief Inspector. There is no such position or rank as Director in the Met.
Shaw's goons clearly have little experience or training with using firearms, as they all attempt to fire their handguns at arm's length without bracing the firing hand, and without even sighting down the length of the barrel.
When the waiter comes in when Frank is sleeping on the sofa, the waiter says in Italian, "scusi signora" which means "excuse me lady" but only Frank is there.
When the French agent on the train takes a picture with his cell phone the OS menu is in English.