The Disappearance of Mr. Davenheim - S2-E5
Continuity mistake: The race is presented through actual footage of the era, with a cameraman from Pathe shown, saying that Lowen's car is number 3. But the car shown in the stock footage is different from the one Lowen is driving, which does not even have the number in the same position. (00:33:10 - 00:33:45)
The Kidnapped Prime Minister - S2-E8
Continuity mistake: At Scotland Yard, Poirot is readying the glasses for the moment when Japp will pass him the paper he's reading, about the driver. When the view switches, his hands, that were above the desk level, start off from underneath the desk. (00:33:35)
Character mistake: The rude doctor says that Edward Pengelley "wouldn't poison his grandmother's dog", to which Poirot irately blurts out "but it is not the dog of Madame Pengelley's grandmother that has been poisoned." He should have said "of Monsieur Pengelley." (00:12:50)
Continuity mistake: At the beginning of the opening credits, there is a close-up of the model boat pushed forward. It passes by a kid who is hunched over, hands on his thighs. Wider shot, and the kid just watches the sailboat pass by standing apathetically. (00:02:15)
Continuity mistake: When Japp does the comical fistwave at Poirot at the end, Poirot's carriage is passing by a line of people (woman with red coat, young woman with greenish one) that already passed by when the constable was giving the 'bad news' to Japp. (00:48:20)
The Adventure of the Cheap Flat - S2-E7
Continuity mistake: Miss Lemon, as Penelope Maitland, enters the performer's room. The shady character that opens the door does it holding a cigarette in his left hand. The hand is kept close to his chest in one shot, while it's on the door in the reverse. (00:31:35)
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 Cheap Flat - S2-E7
Continuity mistake: Poirot is doing his round of phone calls at night clubs looking for the chanteuse; the pen before Hastings' arrival is pointed to the left side of the screen, when he sits down (and Poirot has not touched it) it points to the right. (00:24:40)
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 Disappearance of Mr. Davenheim - S2-E5
Continuity mistake: Japp taunts Poirot, presenting him with the mystery. While he does that, he turns around towards himself the magic book. When he leaves, Suchet reaches for the book that is more distant from him and turned the 'right' way. (00:12:00)
The Kidnapped Prime Minister - S2-E8
Continuity mistake: When Poirot tells his tailor that it's his equipment that is at fault, Hastings holds the newspaper in ways not coherent between shots (he folds it, but in the reverse shot is still looking at the top of the page, and so on). (00:04:20)
The Kidnapped Prime Minister - S2-E8
Continuity mistake: Poirot opens the car window in two shots; in the first he is holding his walking stick close to the body, but in the second he has a completely different posture, with the cane perfectly vertical and his arm at a right angle. (00:13:20)
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 Kidnapped Prime Minister - S2-E8
Continuity mistake: Hastings has lost sight of the car he was pursuing, and stops at the crossroads. In the wide shot you can see his left hand holding the top of the windshield, but in the close-up he's using just his right hand. (00:40:40)
The Adventure of the Cheap Flat - S2-E7
Other mistake: Spying on the Italian embassy from Japp's van, the building has 2 Italian flags of the period. But the rightmost one is mounted upside down, with the crown under the shield instead of the opposite. (00:23:05)
The Adventure of the Cheap Flat - S2-E7
Character mistake: Bernie Cole "King of the clubs" greets Miss Lemon and tells her she'll find Elsa "Straight down the corridor, second on the left." So she opens the second door...on the right. And it's the correct one. (00:30:50)
The Kidnapped Prime Minister - S2-E8
Factual error: When the former Mrs. Daniels hops on her car followed by Hastings, between them you can see a speed bump, not a feature on roads in Britain (or anywhere) at the time. (00:36:55)
The Kidnapped Prime Minister - S2-E8
Factual error: The Austin used by Poirot and his company to go to the attempted murder scene and back is an Austin 18, which entered production in 1937, later than the event of this season/episode. (00:12:00)
The Adventure of the Cheap Flat - S2-E7
Continuity mistake: Poirot knocks at the door of The Black Cat, next to a street worker and a pimp. Nobody is walking down the street in the wider shot, but in the close-up an elderly couple passes by. (00:22:55)
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)