At night in the desert, one of the Vuvalini points out a satellite that "used to bounce messages across the Earth." Most communications satellites, however, are geosynchronous, and would not be perceptibly moving relative to the stars - even if visible, as they are in higher orbits (22,000 miles) and not visible to the naked eye.
Even low-orbiting satellites move more slowly, do not blink.
The length of the chain attaching Max and Nux varies in length. In particular when Max wakes up after the sandstorm and walks to Nux's car, it's shown to be long. But when Nux has hold of the bolt cutters and stands behind Max to cut it, it's actually quite short.
Max gets on the front of the war band machine and gets hold of the guitar while the Doof Warrior swings around on chains. But in the next shot of the vehicles driving across the desert, the Doof Warrior is in front of the speakers alone, still playing the guitar.
When the War Rig first passes through the canyon, it appears that one of the two flags on the trailer was knocked off. Careful viewing shows that the flag that appeared to have been knocked off was only bent flat against the trailer, where it remains for the remainder of the film.
When the 'Bullet Farmer' is firing off his SMGs at the war rig in the night after being blinded, it changes from him standing and using dual SMGs - to him sitting holding dual Assault Rifles - and back to dual SMGs the scene after that.
When Max rises from the water in chains, he has just a few War Boys around him a few feet away. In the next shot, more of them have appeared and are right beside him, and Max has one of them by their legs as he throws him.
Furiosa punches Crew who is on the side of the war rig, and he falls back with his body turned away from the vehicle, and one arm holding on. In the next shot, Crew's body is facing the war rig and is holding on with both hands.
Before the war rig enters the canyon the fuel tank begins dragging because of a disconnected line. The line is disconnected in the wide shot of the rig as Max runs across the tanker. In two subsequent close-up shots the line is connected. When Max gets to the line it is then shown to be disconnected.
As Max springs up from the ground on the pole, the speeding war band vehicle with the Doof Warrior on, is just a few feet behind him. In the close up shot of Max springing towards the war rig, the vehicle is much further behind him in the distance.
After the Buzzards' spiked car is harpooned by one of the War Boys, it swerves in front of Nux's vehicle that Max is tied to, to the right of them. In the next shot from behind, it's on Max and Nux's left.
When Max kicks Slit from Nux's vehicle, he clearly let go of the car and flies back to the ground holding one of Max's boots. In the next shot from behind the car, Slit is still holding onto the car before letting go of it in a completely different position.
When Max first confronts Furiosa and the wives after the sandstorm, Furiosa's forehead is completely black with what is supposed to be axle grease. But within moments of her fighting with Max, her forehead is virtually clean.
Throughout the film, as well as in production stills, 5 or 6 black-clad Gas Town men can consistently be seen riding on top of The People Eater's limousine, in addition to the gunner and driver. During the final chase, as the driver and gunner are killed and the tanker is ignited, they can still be seen in the background. However, when the film cuts to show the whole limo, they vanish completely and do not reappear.
Blood on Max's head appears and disappears as he tries to escape from the War Boys and makes it to the outside. When Max first sees the outside of the Citadel from high up, there's no blood as he looks down. When he looks up, a patch of blood appears near his hairline. When he turns around towards the camera, the blood has gone again. As he prepares to do a running jump for the swinging hook, the blood is there. It's gone again as he swings around on the hook, and then appears again as the War Boys get hold of him and pull him in.
During the opening chase, when Joe's armada is first sent after Furiosa, in shots from the ground, the armada's large car carrier is clearly covered with around 6 cars' worth of parts, and many more War Boys. However, in the overhead shots of the same scene, the car carrier has nothing on it, with the metal of it's empty flatbeds reflecting the sun unobstructed.
Soon after Furiosa shouts "Fool" in the canyon, she jumps to the right side of the War Rig. Some seconds later, as she starts running, she jumps below the Rig from the left side, not from the right side.
When Furiosa calls "Eyes right!" when the Buzzards appear, the War Boy behind The Ace turns his gun in response. A few moments later, when The Ace calls "Buzzards!" the same War Boy is off the gun and the gun is pointing toward the rear.
When the Buzzards' spiked truck smashes into the back of the War Boys' car, the two War Boys climb out to the back and jump from it. In the next shot, the War Boy nearest to the war rig is still climbing to the back of the car.
When Max escapes the People Eater's limousine/mobile refinery, the People Eater's foot is shown engulfed in flame, implying the explosion has consumed the forward part of the vehicle. However in the next scene, the vehicle is shown completely intact with only the rearmost trailer in flames.
During the canyon portion at the end of the final chase scene, several War Boys repeatedly appear and disappear in the background, standing on the speakers of the Doof Wagon. There is also a shot where they can be seen climbing aboard the speakers from the back of the vehicle (after using the swinging poles to get aboard), but the shot is shown after they could already be seen on the speakers.
During the final Chase Max is shown to have already acquired the south African m83 vest but when he exits the cab of the war rig at the beginning of the chase and as well as many numerous wide angled shots, this item of clothing is missing.
After the "I'm gonna need you to drive, I'll get him out of our way" scene, there's a crane in shot revealing Max behind the "Doof warrior", you can see clearly the shadow of the crane in the The War Rig (left side of the screen below)
Furiosa talks about a "160 day" ride across the salt desert, on their fully loaded motorcycles. This makes no sense; as (a) they simply couldn't carry enough gasoline for that length of time - motorcycles get 30-50mpg, and the bikes couldn't possibly carry more than 50 gallons each, (b) they couldn't carry enough water for that period of time (humans require about a half gallon per day), and, most importantly, (c) no desert on earth is anywhere near that possible distance. In fact, presuming that they could indeed ride the entire time, a 160-day ride across a hard-surface desert (600 miles/day) is sufficient to circle earth almost FOUR TIMES. A 160 day WALK at a relatively easy pace (10 hours/day, 3mph) will still cover a distance almost TWICE the length of Australia, and would be sufficient to travel from Korea to Germany across the breadth of Asia.
The concept of blood type O as the "universal donor" is in reference to packed red blood cells, which are the most commonly transfused blood product. But when Max's blood is transfused, they are transfusing whole blood, which contains both red blood cells and plasma (the liquid component of blood). There is no universal donor for whole blood. While Max's red cells would cause no problems because as they are type O, having neither the A or B antigens on their surface, his plasma would likely cause a transfusion reaction, because it would contain both A and B antibodies. With a patient exsanguinating like Furiosa, the probable transfusion reaction would be worth the risk, but for "topping off" purposes, the risk would outweigh the potential benefits. For non-emergent whole blood transfusions a same-type donor would be used.
Near the end of the sandstorm chase, Nux has an inch or more of fuel sloshing around on his floorboards, and he strikes a road flare, preparing to immolate himself to stop the War Rig. Magnesium road flares constantly drop burning embers from the moment they're lit; this can even be seen in the film during a close-up. The car should have ignited the instant Nux struck the flare - even without the embers falling into the fuel on the floor, the cabin of the vehicle would have been full of explosive vapors.
The vehicles are mostly powered by turbo and/or supercharged engines. Most of which have no form of air filtration. A supercharger or turbo charger without an air filter would be destroyed within minutes in such a sandy environment. We see these engines operating at full throttle in dust storms ingesting huge amounts of dirty air straight into the supercharger/turbo yet none of them ever fail.
After the wives toss Nux out of the War Rig, he gets up almost immediately and starts running towards the approaching war party. Sand may be soft when you walk on it, but if a body hits sand from a considerable height or while moving forwards at even a fast sprint, hitting the sand will be like hitting pavement, and it will cause blunt-force trauma. The shirtless Nux should have come away with - at a minimum - a severe case of road rash, and probably some broken bones.
There are several scenes in which people, including The Splendid Angharad, grab onto the vertical exhaust pipes for support while crawling around on the outside of cabin of the War Rig. Truck exhausts can often reach temperatures greater than 350 degrees Fahrenheit, which would have made holding onto them with bare hands impossible.
Max's tattoo in the beginning of the movie says that he is 10 hands tall. If one used the current equestrian measurement of one hand (the width) being four inches, it would mean that Max was 3'4" tall - which he clearly isn't.
In the film, however, there are no references to horses nor any signs of them, thus no reason to assume the equestrian measurement is being used (or even known about). If the length of a hand were used instead of the width, ten hands would be about right. Fingertip to heel of an adult male hand is roughly seven inches which would make ten hands a measurement of 5'10", whereas Tom Hardy is actually 5'9" tall.
The canyon is completely cleared of all the rocks on both sides when Furiosa and the others head back through it to return to the Citadel. It would have been impossible for Joe's men when they first drove through it to not only make enough room for their biggest vehicles, like the war band machine to fit through, but also to completely clear the area of the huge rocks and still join him by sunset to pursue the war rig.
After Max is captured in the films opening moments, he is seen getting a full back tattoo of various words and phrases, amounting to his 'medical chart.' Moments later, as he puts on a shirt and attempts to escape, the shirt is dry. A fresh tattoo, un-bandaged, is an open wound that would be bleeding and soaking through the shirt.
In the beginning of the film it's been emphatically pointed out that "Nux" needs to be fed other people's blood intravenously to live at all. After the IV line between him and "Max" is severed mid-film, the issue is never brought up again and he's fine on his own. But, Nux did state he only needed a top off so when the line was cut he was probably done with the transfusion.
Immortan Joe releases water from the Citadel and it looks like a waterfall pouring down to the people at the bottom. But when the people actually run up underneath it, very little water is actually pouring down.
Immortan Joe incorrectly states that the Citadel is "undefended", despite it being shown that there is still a contingent of Warboys inside who control access through the elevator that serves as the Citadel's only entrance.
As seen when Immortan Joe realizes Furiosa's treason, word of a rogue imperator was quickly spread among the Warboys, along with the knowledge that Immortan Joe intended to pursue and kill her.
Immortan Joe would have no reason to assume that the Warboys in the citadel would allow entrance to the rogue imperator Joe assembled half his kingdom to track down and kill. However, Immortan Joe probably brought his best War Boys to go after Furiosa. The ones left behind were untrained or sick, rendering them useless for defense.
During the canyon chase, Immortan Joe jumps the Big Foot monster truck over the War Rig. When the Big Foot lands, the front left wheel starts to swivel uncontrollably right and left, having clearly broken loose from the steering tie rods/linkage. After the camera cuts to the next image, the front wheels are both steering normally.
The goof item below may give away important plot points.
In the final scene, when Furiosa & co. emerge to the freshly conquered Citadel, Max leaves without any new vehicle, weaponry and equipment, ignoring both the new leaders' gratitude and heavy debt towards him and his own needs to survive in the desert.