When they are on the outside of the private plane to Mumbai, there is a sound of the jet engine in idle mode. In the last shot of the sequence the sound changes to jet engine throttling. However we see that the engine blades are standing still and not rotating, hence engine is not running and cannot produce that sound.
When Ethan Hunt asks Benji Dunn to "pinpoint Hendricks's location", Benji says "Hendricks is signaling from a state run TV station". However, earlier we saw Hendricks had entered the "Sun TV Network" station which is a private Television network.
When Hunt and his team are in the Hotel at Burj Khalifa, they see the sandstorm approaching from the front of the building yet when Hunt and Wistrom exit out front, the storm hits the building from the back.
At the end of the climbing the tower scene, Ethan Hunt securely places is hand in order to provide leverage to kick in the window. As the view rotates between outside and in, his hand moves from on the crack, to above it.
In the car chase scene in Dubai, Ethan's BMW Six series is shown to be a six speed manual, because there are three pedals and oftentimes he can be seen changing gear manually, however towards the end of the chase right before he deliberately crashes the car, when what would be the gear knob was shown in an overhead shot it bore the unmistakable large "D", "R", and "N" of an automatic
When Ethan is hanging on the outside of the hotel, he can see the giant sand storm coming, it is reflected on the hotel windows. A couple of shots later, you still see the reflection on the windows, but now there is no storm visible.
In the Mumbai valet parking scene, the order and position of some of the parked cars changes between shots. The high angle shot shows a Ferrari Enzo, Mercedes Benz SL 65 AMG Black, and Bugatti Veyron parked in front of the landscaping. In the moving-camera shot, a fraction of a second later, those three cars have been moved forward and a McLaren F1 is parked behind the Enzo.
Mr. Hunt is issued with a fake identity card which helps him entering Kremlin. When he holds it in his hands for the first time the name given on it says Fedorov. When going through the check point in Kremlin and the security guard struggles to find it on a system but eventually does, it shows a different name Samokhvalov (read in Russian).
When driving into Dubai the team are in a Land Rover Defender 90. In some shots the driver's window is a slanted, sliding type found on military Land Rovers while in other shots it's is the civilian wind-down type.
When Carter and Hunt sit in the van and Carter updates Hunt on what happened to the colleague in Budapest, some camera shots on her show a silver reading lamp coming from top right of the picture, however several other camera shots do not show this lamp, while the perspective has not changed significantly.
In scenes with the Land Rover 90 (Saudi Specification) the door "tops" are seen to change as the camera pans between Ethan Hunt and Jane. Doors switch between "split" NAS/Saudi specification to standard "1-Piece" defender doors, the colors changing from black to white respectively.
During the climbing scene in Dubai, Ethan falls many stories down the building when his laser gun sparks as he attempts to access the control room for the first time. In the next shot Ethan is already back at the control room without having to climb 20 stories back up.
The initial scene in Budapest is supposed to take place in or near Keleti station but instead it is shot at Central Station in Prague, Czech Republic. This can be validated by the "City Elefant" trains which are in use only in Greater Prague area.
The "immediate evac" scene where Ethan gets into the car and meets the Secretary starts with a two-carriage yellow overground train passing a brick aqueduct in the background. The only mass transit overground in Moscow is the Moscow Monorail System in the northern part of the city which uses specially built steel monorail over the concrete columns and six carriages of white color per train.
The "No entry" road sign visible is also not correct: the white bar is not as long in Russia.
After the plane lands, they have supposedly arrived in Mumbai.
When Ethan Hunt pulls up to Brij Nath's house, you can see both the architecture as well as the environment is middle-eastern (most likely Dubai), not Indian.
Hunt and Brandt are shown at the bottom of a river as bullets whiz by from multiple villains firing at them from above. However, the program Mythbusters ("Bulletproof Water") demonstrated that high velocity rounds slow down substantially and frequently fragment with a couple feet of the surface.
When Ethan asks the "Analyst" William Brandt to identify the man Ethan drew on his hand while in the van, Brandt states that the subject has an IQ of 190. This is impossible. Standardized intellectual assessments have an "upper end" of only 160 points and no professional intellectual assessment will result in a finding of "IQ=190." Anything higher than an IQ of 160 could only be suggested as being, "in the 98%ile or higher."
Ethan Hunt and his team checks in into 130th floor of Burj Khalifa Hotel. However, the Armani Hotel in Burj Khalifa occupies levels below 40th floor. 130th, 118th and 119th (occupied by Sabine Moreau and Wistrom) are Commercial floors. Also, the entrance to the hotel is much, much smaller and not as impressive as in the movie.
A magnetic field powerful enough to lift a human being (who was wearing a metal vest) would also wreak havoc in everything electronic nearby, also throwing into the air the very computers the team was trying to access. The average battery pack cannot supply enough power for such a move.
Ballistic missiles do not fire their rockets after they reach their highest point, hence "Ballistic", they also are targeted much higher than the (apparent) ground-level burst in apparently intended in the film.
Bullets are shown moving through water at high velocity, endangering Hunt and Brandt. Bullets, however, lose velocity very quickly in the mass of water. Water tanks are often used for ballistics tests for that reason.
When Ethan is escaping the server room by running down the front of the Burj Khalifa he is using a technique called "aussie rappelling". In order to do this the belay device the rope passes through must be positioned at the back of the harness and not on the side as shown in the film. If it was attached this way you would end up going down the building side first and not face first.
During the Dubai sandstorm scene, Ethan is seen driving what appears, from the foot well angle, to be a BMW 6-series convertible equipped with a three-pedal, traditional manual transmission. No BMWs exported out of Germany have this transmission; all of them have an 8-speed automatic. Further, in a brief shot immediately before Ethan crashes the vehicle, an angle from behind the car shows that he is using the 8-speed automatic.
Ethan Hunt damages first his right sticky glove (on the outside of the building, where he throws it away) and then the left (smashing through the window). In the server room, however, he has gloves on both hands again; that's because we see him remove the left glove and put on a new pair of plain leather gloves from his pack.
After the exchange of the diamonds for the launch codes, right before Jane Carter catches up with Sabine Moreau, Moreau waits impatiently for the elevator and pushes the button. The whole wall shakes under the pressure of her pushing the button, showing that it is a set.
One of the characters is seen on several occasions using a MacBook Air. Although the character is actively working on the computer, the Apple logo on the cover of the machine is dark. In normal use of the MacBook Air, the logo would be lighted.
The nuclear warhead would not have re-entered the Earth's atmosphere with most of the rocket still attached. The nose cone would have separated in space and the warhead would then detach from the final stage. Like astronauts in a re-entry capsule, the warhead is a 're-entry' vehicle.