(at around 16 mins) When Strange is talking online with a specialist who refuses to help him, he throws his laptop on the floor. He then picks it up when Christine comes in but he doesn't open it back up. Later in the scene, when he is arguing with Christine, the laptop is back on the table and open as if it has never been moved.
(at around 12 mins) The wound and blood on Strange's left eyebrow is first fresh, then dry, then it's gone, then is back again.
(at around 14 mins) During the recovery montage, Dr. Strange is having his bandages removed and he does not have the hardware attached to his hands. In the next scene he is discussing a procedure with a group of doctors and he does not have the hardware attached. However, in the next scene he is being wheeled into the operating room with both hands fully immobilized and hardware in place. The hardware would only be in place until the bones healed and would not be replaced for the surgery.
(at around 48 mins) When Strange is having a practice bout with Mordo, after getting knocked down his fingers are temporarily seen and they are perfectly white and appear unharmed. However, in subsequent scenes they still appeared maimed.
(at around 11 mins) Doctor Strange leaves NY City across the George Washington Bridge going westbound towards New Jersey and is then seen driving a winding road along a cliff that ascends to his right and descends to his left. When the car spins out of control and leaves the road on the left side going down the cliff, the vehicle is shown at rest in the Hudson River north of the George Washington Bridge. If he went off the road to his left and into the Hudson River, the vehicle should have been shown south of the George Washington Bridge.
(at around 4 mins) After going through his clean up routine, Strange attaches his own mask, breaking aseptic protocols. In fact, a surgeon would put on his/her mask, then scrub, then have the OR team gown and glove him/her. Another error is that he inserted his hands all the way through his gown to don gloves. Hands must never leave the sleeves and gloves must be put on with the sleeves still covering. In addition, while he is removing the bullet from the patient's brain, he and Dr. Christine Palmer are shown intermittently with scrub masks and without.
(at around 6 mins) In the bullet surgery scene, Dr Strange says the bullet has probably been hardened with antimony, which would imply it was a cast bullet. When he extracts it, it appears to be copper jacketed and not cast. It is also unlikely a hardened bullet, or any other bullet, would stop in the brain, as it would more likely pass through the head and exit.
(at around 10 mins) When Dr Strange is choosing a watch from his drawer of watches, all of his watches are shown as being on watch-winders, but the winders are all rotating about the horizontal plane (in order to fit nicely into the drawer, no doubt). Since an automatic watch is wound by the movement of a weight, a winder works by turning the watch either about the vertical plane or something near vertical, leading to the weight's moving under the force of gravity. There is no way that a horizontally mounted winder could provide sufficient wind to a watch to keep it powered-up.
Dr Parker's nails are painted dark blue. Painted nails are strongly discouraged for hospital workers, because it makes it harder to tell whether the areas under the nails are clean or not.
(at around 7 mins) In the OR sterile technique is not observed as neither the C-arm doing x-rays nor the microscope are draped with a sterile cover. Also images in the c-arm for x-ray are static on the right monitor and can only show a single image, showing the bullet being removed in real time would only be shown on the left side of the screen.
(at around 6 mins) The MRI scan should not have been performed if there was a bullet in the brain, as the patient would have died due to the magnet and its strength. A CT scan would have sufficed.
Actually a CT would not show the brain stem (the area the bullet is located). So the only chance saving the patient's life (with time being of the essence) IS the MRI - hoping the bullet is not magnetic (for example titanium). Most modern bullets in production today are copper jacketed lead or just lead. While steel core copper jacketed bullets are available, they are uncommon. Copper and lead are both non-magnetic so this would not present a problem.
Actually a CT would not show the brain stem (the area the bullet is located). So the only chance saving the patient's life (with time being of the essence) IS the MRI - hoping the bullet is not magnetic (for example titanium). Most modern bullets in production today are copper jacketed lead or just lead. While steel core copper jacketed bullets are available, they are uncommon. Copper and lead are both non-magnetic so this would not present a problem.
At least twice in the film Strange refers to Pangborn's spinal cord injury as having occurred between "C7" and C8" - meaning the 7th and 8th cervical vertebrae. But humans only have 7 cervical vertebrae. An injury in this location would actually be between C7 and T1 (the first thoracic vertebra).
The Eye of Agamotto was first seen as one of Odin's relics in Thor (2011), yet it turns up in the Kamar Taj in this movie without any explanation. However, the same thing was previously said about the Infinity Gauntlet being seen in Odin's vault but then showing up in Thanos' possession without explanation. In Thor: Ragnarok (2017), Hela goes down into the vault and states that Odin's Infinity Gauntlet is fake (thus revealing that Thanos always had the real one), and then says that most of the other relics are also fake. This could suggest that the Eye of Agamotto that was previously seen in the vault is one of the fakes that Hela was referring to, which means that the real one could have been with the Ancient One the whole time.
(at around 50 mins) When Dr. Strange is manipulating time on the half eaten apple, the future of the fruit looks like it's being eaten further where in fact it should just go old and moldy because once it has been put on the desk, no one is eating it. However this probably shows a possible future where the apple is/was/will be eaten.
(at around 16 mins) When Strange is talking to the other surgeon about other possible ways to heal him quicker, the surgeon ends the call, causing Strange to get angry and hit the desk and shove all of the stuff on the desk onto the floor. However, with his hands being in so much pain, the impact of his hands and the desk should have triggered at least some pain. But instead, he just acts as though there is no pain.
At 56:06, a crew member is clearly visible through a doorway on the right of the screen just left of the mask artifact as the camera is panning left. He is wearing black clothing and looking up, probably at a monitor, and appears to be holding something in his right hand.
When showing far shots of New York City from 177A Bleeker Street looking south to the World Trade Tower, all of the Battery is improbably far away. It's less than two miles from Bleeker to the World Trade Center.
(at around 1h 35 mins) Aerial views of Hong Kong show as if everything is happening on the Kowloon side. However, in one scene there is a minibus number 10, which connects two places on the Hong Kong Island site.
(at around 37 mins) In the Master's library, Strange pulls down a book with pages missing. Wong says it belonged to Cagliostro, pronouncing the g in the name. But the g is silent in the Italian name. Count Alessandro di Cagliostro was an Italian adventurer and self-styled magician.
When showing up in the hospital with his injury, Doctor Strange asks Christine for an "operating theatre." In the U.S., it's called an operating room, while in the UK, it's an operating theatre. Nothing in Strange's history indicates overseas training.
Doctor Strange, a highly educated physician, uses the word, "irregardless" rather than the correct word "regardless." There is no such word in the English language, so it is highly doubtful that Doctor Strange, a highly educated eloquent doctor, would use it.