Deliberate mistake: Leaven spends too much time thinking about if 645 and 372 are prime numbers to be believable. But she knows the factors of 649 and the result of 26 to the power of 3 almost immediately. Plus anyone with any maths knowledge whatsoever would know that any even number (or one divisible by 5) can't be prime, so 645 and 372 could be dismissed without even thinking about it.
Deliberate mistake: When the girls all order their food at the drive through they get their food but never pay. (00:17:15)
Deliberate mistake: When Morpheus is facing the twins' car, the road's not all that wide, and there are concrete barriers both sides of him. After he rolls to the side and slices their car, we see a side shot, quite far back from the road, and the barrier closest to the camera has disappeared (presumably so we get a better view). In a closer view, both barriers are back again. (01:29:25)
Deliberate mistake: Gandu Three Echo, the clone who hits the screen showing the first lottery winner in the movie, complains that he has been around for 7 years and never won the lottery. However, McCord explains later in the movie that the last name tells how old the clones are. Lincoln Six Echo is 3 years old because he is in the Echo generation, and the Delta generation (Jordan Two Delta) is 4 years old. Going backwards, this would make Charlies 5 years old, Bravos 6 years old, and Alphas 7 years old. Gandu Three Echo should have really been Gandu Three Alpha. (00:05:55)
Deliberate mistake: When the ship crashes into the dock, all of the scenes leading up to the crash and after it show a clear view across the harbor as we can see lights and land on the other side. It's not until the ship is about to crash that a thick and dense fog appears and disappears within a minute to mask the ship to create a more dramatic effect.
Deliberate mistake: When Frenzy attacks Sam, the teenager wears straight leg jeans with a narrow leg opening (not boot cut) and thick-soled Nikes, seen in numerous shots, as he kicks at the Decepticon. After the cut to Mikaela (who finds the reciprocating saw), during which Frenzy has already pulled off the bottom of Sam's jeans, Sam continues to kick and scream just before he gets up and runs. Problem is Sam still wears both thick-soled Nikes, neither of which slipped off as Frenzy maniacally pulled the jeans, with narrow leg openings, from his kicking legs/feet. Impossible even in the best of circumstances.
Deliberate mistake: In the towel-dance scene after Demi has put on her white panties and spins off the towel from her hair she starts to rip off her body towel. Then in the next frame the towel is again tucked in. Apparently they didn't want Demi topless when she leaned over to slip on her blue shorts.
Deliberate mistake: During the interrogation scene, a patient asks for a glass of water. When she receives a the glass of water, she lifts her right hand to her mouth and makes a drinking motion, but is not holding a glass. A moment later she sets down an empty glass with her left hand. When the camera angle changes, the glass has become half full. This implies the patient's mental instability and adds to the surreal feel of the film.
Deliberate mistake: In the parking lot at the horse track, the old cars are so huge, they don't fit properly in the tiny modern spaces. They are hanging over the backs of the spaces so badly that the drivers would only have about two feet to try and get their enormous cars out of the spaces.
Deliberate mistake: The way diplomatic immunity is depicted in the movie is extremely inaccurate. While technically a sufficiently ranking diplomat could perform the acts shown in the movie without being subject to arrest, their home government would be requested to turn the diplomats over for trial, or the diplomat would be declared persona non grata and expelled from the country. A drug smuggling ring and murdering multiple policemen is far, far more serious than actual crimes that diplomats have been expelled (or handed over for trial) for in the real world. Additionally, the consul general and his officers would not be considered diplomats. They would only have limited consular immunity with regards to "official acts" in the course of consular business.
Deliberate mistake: As Christine approaches the Phantom in his lair (just after he has abducted her), we see that she is wearing very dark black eye-shadow. Back in the dressing room after coming off stage, as she talks to Raoul, we saw her face in close up and she was not wearing any eye-shadow at all, even though the Phantom leads her through the mirror just after she has managed to slip on a robe over her undergarments and she has not yet changed to go out to supper (Raoul says she is to be ready in 2 minutes). Her hair becomes 'bigger' and wilder, too. The change in her appearance is a reference to her descending (voluntarily, I might add - he didn't drag her through that mirror) into the Phantom's dark existence and to her sexual awakening. (00:28:45 - 00:37:10)
Deliberate mistake: Blofeld doesn't recognize James Bond in this film, even though they met face-to-face in the previous movie, "You Only Live Twice." There is a production-related reason for this. Ian Fleming wrote "On Her Majesty's Secret Service" in 1963 (in which Bond and Blofeld met for the first time), and he wrote "You Only Live Twice" in 1964. However, "You Only Live Twice" was adapted for film first (in 1967), and "On Her Majesty's Secret Service" was adapted afterward (in 1969). Because the 1969 film was so faithful to its source material, Blofeld and Bond are basically meeting for the first time...again. The producers were aware of this continuity problem and intended to have James Bond undergo plastic surgery for "On Her Majesty's Secret Service" (which would conveniently explain Blofeld not recognizing him, as well as the fact that Sean Connery had been replaced by George Lazenby in the lead role). But the plastic surgery idea was discarded in faithfulness to the novel, resulting in a glaring continuity problem between the 1967 and 1969 films.
Deliberate mistake: At the end of the movie when everyone is on the bridge, the one female cop roundhouses the bad guy, who is clearly a white male in his 50's, but his stunt double is an Asian man (with different colored hair). They use the same stunt man a few other times for people he doesn't even look like.