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Continuity
(at around 6 mins) At the funeral service, when Frank gets up to speak about Marvin, the wall behind and to the right of the (seated) celebrant changes from wood panels to painted plaster.
(at around 41 mins) When Sarah is begging the Frog to talk (where she kisses him), his glasses are alternatively on his face or folded in her hands between different shots.
(at around 1h 40 mins) Dr. Bailey departs in Han's Challenger: a mid-size, twin engine business aircraft. However when the scene changes to inside the cockpit, the glare shield, avionics panel, throttle quadrant, and overhead panel are that of a Boeing 747-400: a heavy, four engine transport category aircraft. The two aircraft couldn't be more different.
(at around 1h 8 mins) When in Papa Johns, Marvin is shown (from inside the restroom) using a sledge hammer and wearing a baseball style cap but, when the view changes from inside the wall to looking into the bathroom, Marvin can be seen wearing safety goggles and no hat.
In the Paris hotel scene, an obelisk on the right hand side of mantelpiece changes position in various shots.
(at around 1h 19 mins) When Dr. Bailey is being escorted to the An-12 transport aircraft, "U.S. Air Force" markings are clearly visible on the plane. However, as the plane departs, said markings are no longer present.
(at around 1h 40 mins) All UK lorry trailers are required to be fitted with side-guards. So the maneuver executed by the Lotus where it passed under the trailer would be impossible.
(at around 1h 18 mins) The "U.S. Air Force" four-engine turboprop that takes Bailey from Moscow is an Antonov An-12, which is not a type flown by the U.S. Air Force.
(at around 38 mins) When Sarah puts the 2CV in reverse gear after crashing, she pulls the gear lever to away from the dashboard. The 2CV gearbox has reverse gear in a position where most gearboxes have 1st gear. She would, therefore, need to push the gear lever forward to select reverse.
(at around 26 mins) When Victoria pours the acid in the bathtub, she is surrounded by vapors from the acid. The vapors would be so corrosive she couldn't breath them.
(at around 50 mins) When Han opens fire with the mini-gun and it cuts to the empty cases falling on the floor, they are blank round cases, not from live rounds. The cases are .30-06 blank rounds while the Minigun is chambered for the 7.62x51 NATO round (.308 Winchester).
(at around 37 mins) In the chase involving the black Porsche GTS, the rear spoiler is down most of the time, but in several of the scenes, it's up. This is the normal behavior for GTS. The front and rear spoiler for the car extend and retract automatically depending on the speed and attitude of the vehicle. It would be abnormal if they did not change positions.
(at around 23 mins) Sarah accidentally shoots the gun Marvin gave her. She then says No external safety on the Sig? Sig Sauer handguns do not have external safeties. The handgun she has looks like a 1911. Those do have external safeties.
(at around 1h 40 mins) Even if Bailey did not have sufficient knowledge of that specific airplane, he still could get it airborne. When camera shows pilot's instruments, it is clear that not all of them are turned on - speedometer is clearly showing speed zero, even though airplane is flying. That could be the result of Bailey's lack of knowledge of that aircraft.
(at around 1h 22 mins) Dr. Bailey was a physicist, not a biochemist. As such, he would not have had the necessary knowledge or expertise to produce either nerve gasses or their antidotes.
However, it's not stated in dialogue that Bailey was the creator of the nerve agent or its antidote, and given that they were hidden in the heel of his shoe, a common spy trope in the 60s/70s/80s (Bailey was incarcerated in 1981), it's more likely that it was issued to him by the CIA at the time. It would be unusual practice to give such a thing to an asset (as opposed to an agent), but given how unorthodox the Project Nightshade assignment was, the usual practices were most likely abandoned in favor of whatever worked best for the mission.
However, it's not stated in dialogue that Bailey was the creator of the nerve agent or its antidote, and given that they were hidden in the heel of his shoe, a common spy trope in the 60s/70s/80s (Bailey was incarcerated in 1981), it's more likely that it was issued to him by the CIA at the time. It would be unusual practice to give such a thing to an asset (as opposed to an agent), but given how unorthodox the Project Nightshade assignment was, the usual practices were most likely abandoned in favor of whatever worked best for the mission.
(at around 51 mins) After Han Cho Bai stops firing the Gatling gun at Frank and Marvin, he walks towards the vehicle. As he is walking by, a few random squibs are still going off on the vehicles in the background.
(at around 3 mins) Engine and transmission are missing from the Jeep when it blows up in the Costco parking lot at the beginning of the movie. The explosion flips the Jeep over and there is a 55 gallon drum where they should be.
(at around 50 mins) The brass from the Han Cho Bai's Gatling gun has evidence of a star crimp, which shows that blanks are being used.
(at around 51 mins) After the scene when Han has finished shooting at Frank and Marvin with the mini gun he walks towards the source of the explosion and passes a couple cars in the background. The smart car under the scaffolding has no bullet holes or any damage from the scaffolding falling on it. Even though the wall behind it as well as the cars in front and behind it are full of holes.
(at around 36 mins) The restaurant in Paris is obviously mean to appear as though it had been there for over a century, which means that all of the wood surfaces are made from solid wood. Yet every bullet hole (squib) in all of the wood surfaces reveals a superficial finish applied to the cheapest variety of MDF (ground sawdust and glue).
(at around 1h 28 mins) When Frank gives Sarah Ross the pistol it has the initials SJ on the grips.
(at around 32 mins) When Katja kisses Frank Moses and they enter the dining room where a string quartet is playing, we hear the sound of a violin, yet the violin player's bow is not touching the strings of his violin at all.
(at around 1h) The first shot of the Red Square is flipped. The Kremlin is to the right of the Saint Basil's Cathedral, not to the left.
(at around 54 mins) The boat's tour guide announces, "On your right, you see the famous Tower of London." The boat is traveling eastward (downstream) along the river, so the tower of London (located on the north bank of the Thames) would be visible off the port (left) side of the boat.
The motorway looks like the M96 and is therefore a British motorway.
(at around 1h 35 mins) The Iranian embassy is several miles from London's only heliport at Battersea, yet the two are shown next door to each other.
(at around 1h 40 mins) Dr. Bailey has just come out of 32 years incarceration. No matter how good a pilot he was before, he could not possibly have worked out how to start up, take off and fly a modern, glass-cockpit Bombardier Challenger 604, which needs weeks of special training on type.
(at around 11 mins) In the beginning of the movie, Jack counts seven including himself. One goes in and Frank kills him. Then four go in and Frank blows them up. Four more go in and Frank kills one. Then you see four guys walk pass between the file shelves. There are already three too many. Then there is one more making it four too many. Frank kills four more guys and Marvin kills the black guy. Ten men are killed by Frank and one killed by Marvin leaving Jack alive. So, after a count of seven, the final tally is twelve.
(at around 45 mins) In the restaurant in Paris, Katja asks for two "kir royal". It should be "kirs royaux"; plural in French. Then the waiter holds the glasses. This is not the correct way as he should put them on the table. And the glasses don't have any bubbles but it's supposed to be crémant or champagne; it means a lot of bubbles.
(at around 1h 35 mins) Although Marvin carries a Smith and Wesson Model 460V for most of the movie, there is no explanation as to how he obtains a Norinco Type 56-1 between escaping the embassy and attempting to shoot down a British helicopter.