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Anachronisms
The model of the Citroën DS seen in the movie wasn't released until 1968.
When Illya destroys his hotel room and is standing outside Solo's door, he noticeably gains weight between the two closeups- according to Guy Ritchie, this was due to Armie Hammer's addiction to Scotch eggs.
Napoleon's sideburns are fairly short in the film, but are considerably longer when the front desk clerk is in his room.
Solo's case officer says that Waverly is with British Naval Intelligence, but the end credits say he was with the F branch of MI-5.
When Solo and Kuryakin watch Uncle Rudi burn on the electric chair, Solo says, "Damn, I left my jacket in there", implying that it would be left behind. In the next scene when Solo exits the van to meet Waverly at the helicopter, he is seen holding the jacket in his left hand.
When Solo turns on the radio when he's sitting in the truck after falling from the speedboat and then climbing out of water, the dial changes position between shots.
The radio car radio is shown with an American AM band (with US Conelrad marks). It should have a European MW / LW tuning.
In the torture scene, Victoria talks about the "Dark Angel of Ravensberg." However, it's actually the "Dark Angel of Ravensbrück", due to the name of the concentration camp, and it was actually a woman.
When the subtitles have Kuryakin's handler saying, in reference to Ilya's disgraced father, "You don't want that kind of shame," the actual line in Russian means "Don't disappoint me."
During the opening credits, a map of Berlin is shown, divided into Russian-controlled East Berlin and American-controlled West Berlin. In reality, The US only controlled southwestern Berlin. Northwestern Berlin was administrated by the French, while central West Berlin was British territory.
When Solo drives the truck into the water, he waits for it to sink and then rolls down the window to exit the cab but this is impossible. As tested in an episode of Mythbusters, you cannot roll down the window of a submerged vehicle. Even if someone were strong enough to turn the crank, the gears would strip under the pressure of all that water.
It was correctly reported that "There is a camera on the roof of the taxi. It's visible when Illya gives Gaby a new engagement ring." - but that's not a " Crew/equipment visible" error - it's his photo camera which he must've put there while waiting. Later at the racecourse reception he carries it around his neck.
When Victoria is approaching Solo after the security guard punches him, she is wearing two gold necklaces. After Solo stands up, he falls against her before regaining his composure, and she is still wearing two gold necklaces. A few minutes later as the two are walking and talking, she is now wearing one gold necklace and he hands her the other gold necklace. The subsequent conversation implies that he had removed it from her when he fell against her earlier, but that clearly was not the case.
When the Land Rover submerses, both Alexander and Gaby should get wet, but when they cross the lake, they're dry.
At 1:07, Gaby reads a newspaper named "Nachrichtenten Allgemeine" - "General Newsws" (which surprisingly uses the exact same fonts and layout as the actually existing and widely circulated "Frankfurter Allgemeine").
On the profile shown for Waverly in the ending credits, you see the term "alcoholic" is misspelled as "Alchoholic."
Also, in his career details, the list jumps from 13 to 15. The 14th point is missing.
Near the end of the film, during Illya's phone conversation - in Russian - with his KGB superior, the subtitle reads "Again! whoever hold's that disc, can control the world." It should be "holds".
In the end credits, there is a booking photo of Solo indicating his height is at least 6'4". However, the document shown in the credits lists his height as 6'1", which is also the actor's height.
Kuryakin argues with Solo over Dior and Paco Rabanne fashion accessories. Rabanne (19 years old in 1963, when the film is set) would not have his own label until 1966.
During the end credits some additional informations about the four main agents - Solo, Kuryakin, Teller and Waverly - are shown. Among them, Kuryakin is shown to have a remarkable chess Elo rating of 2401 points. But the Elo rating system was not adopted until 1970.
The slang term "chop shop" (a clandestine location where stolen cars are stripped for their parts) was used several times early in the film. According to Merriam-Webster, this phrase was first used in 1977. Since this movie is set in the early1960s, such usage is ahead of its time.
The Trabant used in the movie is a model 601 with some modifications. The 601 was first released in 1964, however, with a different bumper. The bumper was actually taken from a model 1.1, released in 1990.
When Solo enters the race course a red Aston Martin stands next to a blue Jaguar E-Type convertible. It is a DB6 which went into production in 1965.
In the retro torture room, the swinging light is an incandescent bulb but with an LED inside the bulb, that is producing the light. The faux incandescent filament can be seen, but it's not used.
Kuryakin, a Russian, mispronounces the name "Ivanov," putting the stress on the only syllable where it cannot fall.
Gaby's German accent is absolutely atrocious (practically worse than that of the _American_ Solo!), and most certainly wouldn't resonate as 'native' to any actual German. This is especially obvious when she's talking to other Germans, particularly her uncle and father (both of whom played by German actors).
When projecting information about Solo, it is said that he joined the army at the age of 18 and participated in WWII. During the credits, his file says that he was born in 1929 and served in the army between 1945 and 1952, thus making him 16 years old at the time he joined. A more believable date of birth and term of service for a WWII veteran would have been something like "born in 1926, served 1944-1951."
{at 1:05:43} When Solo and Illya return from the uranium lab and run up the hotel stairs to beat Victoria and her henchmen to their doors, Illya bursts into his hotel room and Gaby asks ''what is going on!?'', Armie Hammer (in character as Illya) responds ''where is my case?!'' in his normal voice not the Russian character voice. In the next scene shown where he is adjusting the device to listen in to Solo's room, he is speaking in the Russian accent.