Revealing mistake: Watch the opening sequence of this episode very carefully - Clarkson, May and Hammond are not in Downing Street (they are on a set that stands on the BBC backlot) and library footage of the Prime Minister is cleverly edited in to make it look as if they were there at the same time. Even taking into account the fact that the Prime Minister's security service would never allow such an intrusion onto Downing Street, the line up of the shots does not quite match - our three intrepid heroes should be visible in shot when the Prime Minister is shown exiting number 10, but they are nowhere to be seen. It is all sleight of hand and clever editing, but detectable if you watch carefully enough.
Deliberate mistake: Before each season begins filming, each potential apprentice is filmed leaving Trump Towers and entering the taxi as if they were just fired. Once the person is actually fired on the show, this becomes an obvious mistake as hairstyles, etc. change from the boardroom scene to the cast member's exit.
Visible crew/equipment: In the episode where Nicole throws bleach onto the pool table, the scenes before they go out on the town take place inside the household. The camera spends time moving through the house and you can see a cameraman (with a camera) standing in the background and quickly move away. While the camera is moving through the house looking at the floor it passes over a box of equipment and a boom mike.
Continuity mistake: While Mike is cleaning out the armadillo's hay, just before he finishes the second one you can see the amount of hay in the bin is a few inches from the top of the bin. The next shot goes to a close up of him removing more hay but the amount of hay now in the bin is a bit below the top.
Leaning, Lobsters and Lectures - S1-E11
Continuity mistake: Buddy is doing a lobster themed cake for a bachelor party. When Buddy goes in to tell the staff, there is a huge cake 3 tiers high being worked on, almost complete, on the table in the background. As he makes the parts for the lobster cake the cake in the back has fewer tiers, no decorations, no icing, and back again, completely out of order.
Continuity mistake: In the episode where they overhaul a 1976 blue van, there is a shot of the white donor van being carted away. Yet later on in the same episode, the white donor van is back in the workshop.
Charleston - S1-E6
Continuity mistake: There is a plate switch when putting pulled pork on the plate, the pork drastically changes from a shredded mess to a nice portion of gorgeously smoked pork with pickles on top. (00:28:00)
Continuity mistake: Van on the Blue Team is asked to leave Hell's Kitchen by Chef Ramsey and is shown walking out. Soon after, when the Red team is nominating team members for elimination, the camera shows Nick on the Blue team and Van's Head is in the shot. If he was just eliminated how could he still be in kitchen. (00:57:00 - 00:58:00)
Seattle, WA - S6-E6
Continuity mistake: While at Easy Street Records they make a plate of corn beef hash with three eggs sunny side up. When the dish is finished the eggs are placed over easy on top of the hash, but when served the eggs are sunny side up. (00:44:00 - 00:45:00)
Facing Fear - S3-E4
Factual error: The teams are at a US Coast Guard base. Two coasties are introduced. One as a chief (correct) and one as a "Captain." He is not a Captain, he is a Lieutenant. The USCG uses naval ranks, so the person with the two bars is a Lieutenant. A Captain is three pay grades above this, and uses eagles as insignia.
Other mistake: Renee Graziano gets in vehicle to be shown driving to visit her father in a federal penitentiary. As the vehicle is shown, the picture is reversed, and the driver's side is shown on the right, which you can see by the windshield stickers are on the right, not the left. (00:01:51)
Continuity mistake: S4 E1 The Art of Open Fire Cooking - Chef Dale plates the Romesco from the cutting board to a white bowl. In the next shot, the Romesco is back on the cutting board. (00:15:41)
Factual error: The Dominator is shown parked in front of the Coyote Bluff Cafe. The caption shows "Rapid City, South Dakota". Problem is, the Coyote Bluff Cafe is located in Amarillo, Texas.
Continuity mistake: The guy who is wearing the night vision goggles has the chin strap undone. But when he and the other guy are playing around for a moment outside the shack they find the booze in, one shot shows the chin strap suddenly secure and fashioned around his chin. Then it is undone again.
Episode #1.2 - S1-E2
Continuity mistake: When they are playing The Battle of the Sexes, Matt is shown wearing his penalty clothes in one shot before his turn comes up. His clothes are normal in the next shot, and after that is when he loses on his turn and puts on the penalty clothes.
Continuity mistake: Louise has a nose ring in her left nostril, it moves to her right nostril and back. (00:36:00)
Continuity mistake: Near the end of the episode, four contestants are called down: Jesse, Clint, Tatu Baby, and Steve. While the judges are explaining that three of them did not impress, a shot shows Sarah Miller standing to Clint's right, but she wasn't supposed to be there. In the next shot, Jesse is standing to Clint's right. (00:38:20)