Hazard Pay - S5-E3
Other mistake: Jesse and his girlfriend and Brock are all apparently playing the video game, but when they show the TV it's only split screen so only 2 are really playing.
Revealing mistake: At the end of the episode when Tuco shows up at Walter's house in the backseat of Jesse's car, he tells Walter to get in. As they drive off, the shot pans out to show the street sign across from Walter's house. The sign says Piermont, which is the real name of the street. In the show, the Whites live on Negra Arroyo Lane. (00:48:00)

Visible crew/equipment: At the very end of the episode, right after he tells Jesse how he used the red phosphorus to kill the gunmen, Walt leans down to vomit. You can see his microphone transmitter under his shirt. (00:54:20)
djmBox Cutter - S4-E1
Revealing mistake: In the scene where Hank is on his laptop bidding on a mineral on 'Mineral Emporium', the address bar shows 'C://.' which means the web-page is in his own documents on his laptop. No way he can bid on a mineral if it's not online! (00:24:15)
Jeun
Visible crew/equipment: When Skyler is rubbing oil on her stomach and preparing herself in the bathroom, a camera and cameraman's hand is visible for about a second from the left side of the mirror. (00:10:30)
rachhieexDead Freight - S5-E5
Plot hole: Preparing to steal methylamine from the train, Walt, Jesse and Mike measure off a predetermined distance from the railroad crossing, which happens to coincide with a handy arroyo, where they bury their tanks. Problem is that they couldn't have known that distance (calculated by knowing the position of the methylamine tanker car in the train) until Lydia told them. But she didn't call that info in until the night after they'd already buried the tanks.
RattletrapSuggested correction: They were counting on the tankers being at the back of the train, far enough away and at a curved angle so that the conductors wouldn't see them, and the hoses they were using would have been long enough to reach the tankers on either side of the one they stole from. Their heist hinged on a lot of educated guesses and luck, especially because they would have had to abort if the tanker was at the front of the train, but being lucky doesn't make it a plot hole.
Phaneron
I'd have to respectfully disagree. When they paced off the distance to the trestle over the arroyo, they had a particular number in mind (814). It's not explained whether this number represented knowledge of how far back the tank car would be if the engine stopped at the crossing. But if it did, how could they have known that? Not even Lydia knew until much later. And why would they assume the tank car would be toward the back of the train? Lydia doesn't mention that. When she calls Walt, all she says is, "I've got it." And even if she were to tell him, at that point everything's in place for the heist to happen at the location where the tank are buried.
RattletrapThe 814 feet was to ensure that the spot they chose would be far enough away from the conductors so as to not be seen. And they weren't assuming the tankers would be at the back, they were just hoping they would be. As I mentioned, if the tankers were at the front, they wouldn't have been able to move forward with the mission. Lydia told them they would only have 6 hours to prepare for the heist after she told them where the tanker would be. That wouldn't have been enough time for them to get an excavator out there and dig the holes for their own tanks to transfer the methylamine into, so they had to guess the best spot to do it ahead of time and hope that's where it would end up being.
Phaneron
Character mistake: When Hank is brought to the hospital with gunshot wounds, the ambulance and its two EMTs are met outside by two doctors. One doctor says "Let's get him two grams of oxygen. What's his hemoglobin?" This episode's technical adviser was perhaps away for this scene. How much exactly is two grams of oxygen? Orders for administering oxygen would be given in liters, such as two liters per minute (LPM). The line is presumably meant to be 'two liters of oxygen'. (00:02:25)
Super Grover
Other mistake: Walt takes new-born Holly into the garage to show her the money hidden behind wall insulation. He enters through a door that doesn't exist in the interior of the house. (00:15:00)
Factual error: In the opening scene for the episode, a character commits suicide by electrocuting themselves with a defibrillator. The device used was an AED (automated external defibrillator) which analyses the electrical rhythm of the heart and only delivers a shock when the heart rhythm is ventricular tachycardia or ventricular fibrillation. In this case, the device would not have delivered a shock as the person did not have both ECG electrodes attached and therefore would not have detected a cardiac rhythm. The person would also have had a normal heart rhythm.

Visible crew/equipment: When Walter walks towards Jesse's house when he hasn't shown up for work a camera and boom microphone shadow is shown on his back. (00:40:10)
Grahame
Other mistake: In the famous mugshot of Walter against a height chart, the chart goes up in nice 2 inch increments until 5'8." It then jumps to 6'0", completely skipping 5'10". Did they forget there are 12 inches in a foot, not 10?
tbh524Factual error: The final scene of the episode, the cousins are hiding with other migrants amid a farm truck's bales of straw. One of the migrants claims they are in Texas. However, the mountains in the distance are the Manzano Mountains which are just several miles southeast of Albuquerque, more than 200 miles away from the border with Texas and Mexico. The migrant claims he has gone through this route 3 times, so it is unlikely this would simply be a character mistake.
lithium2001Suggested correction: He could have just been boasting, whilst not actually knowing where he is. He is just a kid after all.
lionheadWorse than all of that, is the fact that you can't get directly from Mexico into Texas without traversing a river. There are no land routes.
There are no bridges?
lionheadContinuity mistake: Towards the end, Walter throws up on the ground. Long shot shows no vomit anywhere. (00:52:15)
amycamille1975Continuity mistake: In the scene where Walter White buys his new car and pulls up the parkway at their house, the wheels are turned when he stops, but in the next close up shot, the wheels are straight forward. (00:02:00)
Simon Aschlund Burkarl
Green Light - S3-E4
Continuity mistake: In the scene where Walt is talking to Jesse in Jesse's car, when Jesse pulls out the bag of meth it is in a slide to seal bag. The bag changes between this and a regular ziploc bag from shot to shot. (00:19:30)
Factual error: The temporary paper license on the back window of Walt's new car has an expiration of 12 August 2012, the year the episode was released in our time. However, in the Breaking Bad world, it should still be 2009. (00:08:10)
Box Cutter - S4-E1
Continuity mistake: At the start, there are 2 foam pieces on the floor when Gale opens the box. When he goes to pick them up there are 3. (00:00:30)
Ssiscool

Continuity mistake: Mike Ehrmantraut takes Jesse to a house in the desert. He pulls up behind a dark blue car, which vanishes in the next shot, and then reappears.
Callum Lloyd EdwardsBox Cutter - S4-E1
Continuity mistake: When Gus Fring kills Victor and throws him to the ground, a stream of blood runs between Pinkman's and White's legs. When the angle cuts, the stream is now a puddle around Victor's head, no blood near the legs.
Other mistake: Gus is talking to his employee about the twins while writing something on a clipboard. However, he is using the opposite end of the pen and just pretending to write. (00:14:40)