Other mistake: Inevitably the officers have to concisely give to the quirky inspector a quick profile of the suspect. For their "background checks" they read from profile sheets. It is unclear if they wrote them themselves or not; sometimes especially in earlier seasons they seem to receive them. These sheets contain sentences often written in a rather informal tone that does not fit the format, and in fact often you can see that whatever the officer is saying in casual tone as if it were part of the dialogue is written verbatim on the sheet itself. Example; 6-8, when Florence says "He's big on family values and promoting education in the community", with her line already readable word for word on the sheet in Jack's hand in the previous shot.
Episode #1.2 - S1-E2
Other mistake: Camille sits down and orders a large cocktail with a list of what she wants in it. This is then brought to her within 20 seconds. Not possible given the distance from the bar and the order. (00:04:00)
Episode #1.3 - S1-E3
Other mistake: Investigating the crime scene, Richard, facing away from Camille, asks what was the victim drinking. Camille is already going for the glass of rum before he asks the question. (00:03:00)
I hope that watching the scene it can be clear. Camille was busy taking some notes, and he is facing away from her. All of a sudden, he says "So, what was she drinking?" and while he is at "So" Camille is literally lunging to her side to go look at the glass. Neither had any possible way to get that kind of timing, and it's not played as a "Hey, we were both thinking the same thing! Jinx!" kind of gag.
Episode #1.3 - S1-E3
Other mistake: Inside Angelique Morel's residence, Camille spots an altar with pictures of an unnamed girl and says "This must be Angelique's daughter, Delilah." They went straight to the murder scene and from there to that shack, without time to consult files. Nobody mentioned the name of the daughter.
Episode #1.4 - S1-E4
Other mistake: The body has been completely immersed in the ocean, but it has streams of dried blood on the skin. Moreover, everyone talks about two shots and two wounds, one being a grazing shot that hit him on the left temple, but he has an unexplained gash to the right temple too. (00:14:30)
Episode #1.4 - S1-E4
Other mistake: Fidel reports to his boss, at the station, that the Knights are preparing to leave their house, and Astrid is in fact wheeling the trolley and carrying bags. Somehow, Richard and the others arrive in their Defender before the two have loaded their luggage. Is the police station in their backyard? (00:40:10)
Episode #1.4 - S1-E4
Other mistake: When finally Richard gets the inspiration to crack the case, he grabs the evidence bag with the phone. The label on the bag says it was processed on 2/4/2011, in contrast with the security camera video date, 3/7/2011 (not to mention Richard's alarm clock in the previous episode, 7/2). (00:40:25)
Episode #1.5 - S1-E5
Other mistake: An enraged Richard tries to get the drawing board in position making a bit of a ruckus. If you look at the board, it has names and pictures on it; they are from the future, since they are part of the 6th episode, "An Unhelpful Aid", evidently filmed earlier, out of order. (00:07:25)
Episode #1.6 - S1-E6
Other mistake: The married couple are penned down on the whiteboard as Alex and Phil Owens, but in the episode credits their last name is Owen. (00:25:45 - 00:52:00)
Episode #1.8 - S1-E8
Other mistake: A mysterious character breaks into Nadia's house after the police left. He does it by literally punching a hole in the door and reaching for the keys that are in the keyhole, inside. How did the police close the door when they left, if keys are still inside?
Episode #2.1 - S2-E1
Other mistake: Dwayne is a veteran police officer who's somehow never ever heard of Luminol (misspelled in close captions, incidentally). (00:14:30)
Episode #2.2 - S2-E2
Other mistake: Sister Marguerite throughout the whole episode is wearing not very nun-like quantities of lipstick and mascara - especially considering that the head nun is depicted as strict and frowning upon things like chewing-gum.
Episode #2.7 - S2-E7
Other mistake: Richard does not possess psychic powers, but he grabs from the shelf the one book that is a key plot point; the book is amongst many others in a bookcase full of texts. It does not stick out literally or figuratively in any way and most importantly, it does not feature the professor's name on the spine - that is probably where the issue lies; manufacturing the prop they did not leave any clue about the professor that Richard could have picked up - the name is merely on the front and back. (00:09:50)
Episode #2.7 - S2-E7
Other mistake: The show, shot in Guadeloupe, part of France, is set in the fictional island of Saint Marie, British overseas territory, with English as official language. When we see the development company sign a big cheque to the local university, it is to the order of University of Guadeloupe (also non-existent, since the university in Guadeloupe would have been in 2012 the University of the French West Indies and Guiana). Incidentally, the document that supposedly incriminating picture (taken at an amazingly public event including giant cardboard fake cheque) is from, is a form about real estate in Nevada. (00:20:50)
Episode #2.8 - S2-E8
Other mistake: Richard states that all 33 of the prints he recovered from the cash wraps were by the victim, but we see the secretary in flashbacks collect them from the garbage bin with no gloves, which would leave obvious prints that can't be washed away - the presence of prints wouldn't even be all that incriminating per se, since it wouldn't be terribly strange for the personal assistant to momentarily handle some money inside her boss' office.
Episode #3.2 - S3-E2
Other mistake: Camille shows Humph some bank statements. Susie's is unreadable at normal speed, while you can tell that Carl Collins' is a January 2014 statement, and Arnold Finch's is a March 2013 one, not quite comparable nor really making sense being so outdated. His totals don't add up at all, either, supposedly being on the brink of financial ruin but with 12,000 in the account after a positive of 4,000, an in payment of 1,200 and a long series of withdrawals and payments. (00:34:00)
Episode #3.4 - S3-E4
Other mistake: Humph points out a suspiciously large cash transfer that happened 'three months ago'. On the bank statement, the transfer is shown as happening on Feb 3, so we should be around May. The security footage Dwayne reviews established that the murder happened on the 7th of March. (00:22:00)
Episode #3.4 - S3-E4
Other mistake: When Camille checks out Natasha's bank statement (a picture of it, which is kinda odd as you'd expect another file format), it contains amongst many other payments also a cash transfer to Paul Bevans for €10,000, but the subtotals do not reflect that at all (from over 18k Euros goes to 12k). There is also the not negligible detail that her name is misspelled in her own bank account; she is "Natasha Thiebert" but the statement spells it "Tieebert." (00:22:05)
Episode #3.4 - S3-E4
Other mistake: When Dwayne stalks Simone, his sidecar is smack in the middle of the driveway when she approaches; he drives away towards the left but he is then lurking on the right side of the road as she drives off. All of that with his front light on. Not even a blind person could Miss it, and he'd have to swerve wildly to get in that sort of position. (00:28:10)
Episode #3.4 - S3-E4
Other mistake: The phone records Fidel shows are of February, with Valentine's day being the latest entry. It is inconsistent with practically any other inconsistent bit of the episode (bank statements in February listed as 3 months prior, security camera of March, fingerprint file dated February 9th). (00:37:15)