Factual error: Their mark, Judge Anthony Kent, presides over his courtroom using a gavel. British judges have never used gavels.
Factual error: Albert Stroller goes before the parole board, is approved, and released on the same day. That is impossible. The parole board will meet, interview the prisoner, then take depositions from other interested parties. If they approve parole, they will then pass their recommendation on to the Home Office who will approve or decline it. All this takes three or four days at least, so there is no way for Stroller to be out on the street to meet the bent judge right away.
Other mistake: The end credits for this episode are actually a repeat of the credits for the previous episode Lest Ye Be Judged. (00:51:10)
Factual error: Ash tells the gang that corrupt politician Rhona Christie "took a marginal seat", which we know includes the youth club in Poplar, Greater London. In fact Poplar and Limehouse is an ultra safe Labour constituency. The sitting member has a majority of over 20,000. It has never been even close to marginal, and a meticulous researcher like Three Socks Morgan wouldn't make a mistake like that.
Factual error: Albert and Emma pose for phony wedding photographs in front of a green chromakey screen in order to have a new background created on computer. However, Emma is holding a garland of flowers surrounded by green foliage. You can't have anything green in the foreground when using green chromakey as it will drop out too and become part of the superimposed background.
Suggested correction: "Green screen" chromakey can be set to very fine tolerances. The garland of flowers Emma is holding is a much darker green than the chromakey curtain behind them and could easily be incorporated into the completed composite photograph.
Plot hole: When Albert, Mickey and Emma are trying to decide which nationality of millionaire Albert will pose as, they decide not to go with an English millionaire, since Albert at this point tries and fails to do a remotely convincing upper-class English accent. However, in many earlier episodes (such as "Gold Mine") he has no problems at all in putting on a convincing upper-class English accent.
The Road Less Travelled - S5-E6
Plot hole: The only people who respond to Harry Fielding's classified ad seeking victims of the gang are three people who, it turns out, are actually working with Mickey Bricks. Considering how prolific the grifters are I rather think Fielding would be inundated with genuine people seeking revenge, but not one shows up. Not one? Simply unbelievable.
The Road Less Travelled - S5-E6
Character mistake: The plan hatched by Carlton Wood and Harry Fielding makes no sense at all. They recruit three people who they think were victims of Micky Bricks' crew, asking them each to deposit a cheque for £1,000,000 into an account that their accomplice Alfie will show to Albert Stroller to "prove" his wealth. They are on a hiding to nothing. A bank statement will always show a ledger balance - all funds including uncleared cheques - and an available balance, the amount of money in the account that can be withdrawn at any one time. Alfie's account will show an available balance of nil and will convince nobody of anything. A city wideboy like Wood would know this and would ask for the deposits to be made by account transfer or even in cash, or he could even cut out of the middle men and prepare a fake bank statement. A ruthless businessman like him would have no trouble at all arranging a simple thing like that. The way he does things is uncharacteristically clumsy and includes nothing but loose ends.
Character mistake: When Mickey and Emma are trying to get access to the university labs, they claim they are working for Ofsted, and are investigating exam manipulation allegations. In fact, Ofsted have never been responsible for supervising/investigating universities - they only cover places of education up to the age of 18. Completely different organisations supervise universities.
Character mistake: Ash Morgan tells the grifters that "Anxious" has a basement flat in Camden, and he sends Sean there to get phoney identity papers. It is quite clear that the flat is on the ground floor, not in a basement. The front door opens onto the street.
Factual error: The gadget Ash gets Shaun to hide inside the bank vault deposit box is essentially a large and extremely powerful electromagnet. An electromagnet powerful enough to support a grown woman's weight (which it does later in the episode, when Emma uses it) would require significant power: either from a mains supply of electricity (which isn't possible, given the device is locked inside a deposit box), or else from batteries far larger than what could fit inside the gadget as shown on screen.

Continuity mistake: When Mickey and Ash are sitting with Wendy in the restaurant, Mickey deliberately knocks over the jug of milk, causing a puddle of spilt milk. However, when the wide shot of the three characters is then shown, the jug is upright, and there is no puddle of spilt milk. (00:42:46)

The Delivery - S7-E6
Revealing mistake: Eddie's bar has just burned down, and everything is ruined. However, the glasses above the bar are pristine and clean. At the very least, they'd be blackened and smeared by the smoke and soot, even if the heat of the fire hadn't destroyed them. (00:10:28)
Gold Finger - S8-E1
Plot hole: The gang plan to sell 100 kilograms of gold to their mark Dexter Gold for £500,000. In fact they show him 100 standard gold ingots, not 100 smaller 1 kilogram ingots which are about the size of a small mobile phone. A standard gold ingot weighs 12.4 kilograms. They are showing him 12,400 kilograms of gold - nearly 12 ½ tonnes! First, Gold is an expert. He would know right away that they couldn't possibly be offering 12 ½ tonnes of gold for half a million pounds. Nobody is that stupid - that amount of gold would be worth two hundred and fifty million pounds! Secondly, he would be aware of the difference between a standard 12.4 kg and a one kg ingot. Thirdly, they have the fake gold stacked on an ordinary wooden pallet. That amount of gold (or anything else) would crush it like tissue paper - and it could not possibly be transported in an ordinary Army truck like the one shown.
Gold Finger - S8-E1
Continuity mistake: When talking to Sean, Ash says that Liverpool play like a "bunch of girls" (not realising Sean is recording him saying this). However, when Sean subsequently plays the tape, in the recording Ash now describes a team as playing like a "load of girls" instead.
Curiosity Caught the Kat - S8-E3
Factual error: (Spoiler alert) At the end of the episode DCI Wainwright arrests DI Fisk on a charge of "corruption." As a senior police officer she would know there is no such charge, and the word "corruption" is far too general a term to be used as a criminal charge anyway. Fisk would be charged with "Misconduct in public office contrary to section 1 (1) of the Criminal Law Act 1977."
Character mistake: While investigating the "robbery" at the art gallery, DS Rivet enters the sterile crime scene without wearing gloves. He not only picks up a vital piece of evidence - a discarded receipt - with bare hands, he allows the salesperson in the shop it came from to handle it, too. Not only has he hopelessly contaminated the crime scene, he has made an important physical artifact useless as evidence.
Ding Dong That's My Song - S8-E5
Character mistake: When footage of Dale's gameshow is shown, the announcer states that it is coming to viewers live on a Friday. However, Ash later states that the show was shown to viewers live every Saturday.