The Kidnapped Prime Minister - S2-E8
Factual error: Poirot in this episode has to save the Prime Minister, kidnapped before he could attend the League of Nations Disarmament Conference. This episode is set in November (the previous of the season in October), but it can't possibly be 1935, since the Disarmament conference happened between 1932 and 1934. It makes mention of the PM being vital to have at least a chance at preventing Germany's rearmament, with Hitler withdrawing Germany from conference and League of Nations entirely in October 1933. It should be noted though that the conference happened in Geneva and not in Paris like it's described here. The original material did not have this sort of inconsistency since it was set to happen much earlier in the century and for the Treaty of Versailles, where Paris would have been the correct destination. Both short story and adaptation have as prime minister a fictional "David MacAdam", with him designed to be a stand-in for David Lloyd George, just recently replaced as PM.
The Adventure of the Western Star - S2-E9
Continuity mistake: In his preparations for the arrival of his idol, Poirot sets a bunch of flowers with a card ("Mlle. Marie Marvelle"). When we see the bunch later as Poirot has to leave to go to her, the card is absent - but he has not touched the table. (00:03:55 - 00:05:15)
The Adventure of the Western Star - S2-E9
Character mistake: While handing Mademoiselle Marvelle's letters to Hastings, Poirot calls him "Chief Inspector". (00:06:55)
The Adventure of the Western Star - S2-E9
Continuity mistake: Mademoiselle Marvelle outstretches her arm to hand Poirot the menacing message; her hand does not move in the following shot, but when we get back to a full view of Rosalind Bennett, she is holding the card with her arm bent. (00:07:05)
The Adventure of the Western Star - S2-E9
Continuity mistake: When Lord Yardly is offering wine to Poirot, in the aerial shot Hastings has both hands over the glass, but his hands are in a different position in the consecutive view. (00:20:20)
The Adventure of the Western Star - S2-E9
Continuity mistake: Japp shows his documents to the two policemen who caught him lurking in the bushes; when he says "Twigez-vous?" he's holding the card by the corner, while in the reverse shot ("Oh, very sorry, Sir") he's holding it in the middle. (00:25:30)
The Adventure of the Western Star - S2-E9
Revealing mistake: Japp is waiting for Van Braks to make his move, and when he is hopping on a taxi for the airport, he begins to tail him. When the car moves, reflected in the door is a modern No Parking cone in bright yellow (incidentally, they also pass by a parked car with a FUU 692 plate that is a bit too recent for the series, being an Austin Big 7, first produced in 1937). (00:41:05)
The Adventure of the Western Star - S2-E9
Continuity mistake: When Poirot enters the room of Mademoiselle Marvelle after her husband took off for the airport, she opens the door to him holding the door in two contrasting ways (right hand on the side of the door in the first shot, behind the door using the left hand to push it closed in the other). (00:41:35)
The Adventure of the Western Star - S2-E9
Continuity mistake: When Japp shows the police ID to the road worker, he is holding it by the side in the close-up and by the bottom corner in the next shot. (00:45:05)
The Adventure of the Western Star - S2-E9
Continuity mistake: Japp watches the worker with the flags pass him by while he's leaning his arm on the window. His arm was not there in the shot of the vehicle from behind. (00:45:15)
The Adventure of the Western Star - S2-E9
Continuity mistake: When Poirot does the handkiss on lady Yardly, she has her thumb up when she's viewed from the front, but down in the side view. (00:45:55)
The Adventure of the Western Star - S2-E9
Factual error: Assuming the episode is in line with the others of the season and it is set in 1935, a few vehicles shown are slightly too recent. The plane waiting for South Africa is a Beechcraft Model 18 (first produced in 1937), the train going to Yardly has a SR Q locomotor first produced in 1938, and the truck that slows Japp down before getting to the airport is a Bedford M-Type, a model first produced in 1939 (the specific one used in this episode is from 1947).
The Mysterious Affair at Styles - S3-E1
Factual error: The movie opens with Hastings watching a news film about the "New Flanders Offensive." It says that on "7th June 1917 General Haig attacks Ypres", but at the beginning of the year Sir Douglas Haig was promoted to Field Marshall. A news propaganda reel would surely have called him with the appropriate title. (00:00:35)
The Mysterious Affair at Styles - S3-E1
Continuity mistake: Hastings receives the messages that he is wanted by someone outside the movie room; you can see the person sitting next to him turn towards him in the first shot, and re-turn towards him in the following. (00:02:25)
The Mysterious Affair at Styles - S3-E1
Continuity mistake: The first time Mrs. Ingelthorp is shown, she is holding a pen. In the second shot she is holding it in her right hand, while in the third she has the lid of the pen in the right hand and the pen itself in the left. (00:07:30)
The Mysterious Affair at Styles - S3-E1
Continuity mistake: Hastings has just met the Ingelthorps, and now is outside so John Cavendish can introduce his wife. In the wide shot it's evident that John lowers his arm, but in the closer view his arm is still held up high before Mary speaks. (00:08:10)
The Mysterious Affair at Styles - S3-E1
Continuity mistake: At dinner, Alfred Inglethorp asks Hastings what he's going to do after the war. The person to his left is placing a glass on the table. The next cut happens mid-sentence and in that instantaneous timeframe the glass is perfectly still while the wine was still noticeably moving in the previous shot. (00:10:10)
The Mysterious Affair at Styles - S3-E1
Continuity mistake: Mary Cavendish's wine glass goes from almost empty to full and vice versa several times during the dinner scene the first day. (00:10:10 - 00:11:10)
The Mysterious Affair at Styles - S3-E1
Continuity mistake: When Evie Howard leaves the house after the argument with Mrs. Inglethorp, she sits on the sofa explaining what happened to Hastings and the others. She has her hands on top of the purse handles. After a brief cut on Mary saying "oh no", one of the handles is free. (00:16:40)
The Mysterious Affair at Styles - S3-E1
Continuity mistake: Everyone is silent at dinner after Miss Howard left, but Mr. Inglethorp keeps a healthy appetite. As he eats, look at his plate; the shadows cast on it switch side depending on the camera angle. (00:18:40)