
Plot hole: This film is set in 2004. The thought that no search and rescue operations would be put in place after an aircraft disappeared from radar during a routine flight is absurd. The Chinese are paranoid about intrusion on their territory and the downed aircraft would have been located by a simple satellite search within hours of it crashing. Chinese military satellites crisscross the Gobi and they are equipped with optical cameras, microwave and infrared detectors and radar, so spotting a metal aircraft on the ground would be simple even if it was hundreds of kilometres off course. The crew would have been visited by Chinese military helicopters (and probably arrested!) as soon as the storm had died down.

Other mistake: At the carnival, you can see an African-American man staring at the camera for a while. I am unsure if he is a crew-member watching over the scene, or if he is just an extra trying to get onscreen.
Suggested correction: He isn't staring at the camera. He's glancing over at Peyton and Julie as they are joyously dancing upon exiting the ferris wheel.

Revealing mistake: In the scene when the main character is in the library on the internet, she goes to a couple of websites. When the shot shows the URL up top, it is C:\windows98\mydocuments\etc.html. Instead of actually searching on the web they used a premade html page and accessed it from their computer.

Plot hole: There is a barely credible explanation for the fact that a guest cannot be injured or killed by being shot in Westworld, but what about the vicious fistfight we see in the bar? People are injured or killed in bar brawls all the time, and this one was incredibly violent. How do they prevent guests from being injured or killed by the cutting and stabbing weapons we see in Medieval and Roman World? Guests are supposed to fight each other, not just robots - they cannot be 'programmed' to lose! Delos is going be sued into bankruptcy within a week of the first guest arriving. Quite apart from the legal position, think about the bad publicity! Who is going to pay the huge fees demanded by the parks owners when the media is constantly reporting on the guests who wound up dead or with life changing injuries?
Suggested correction: The explanation given in the TV show would seem to easily apply to the original film as well: guests can be injured, but not to the point that it would leave a lasting mark. The park has access to futuristic medical techniques, so they can heal most non-life-threatening injuries easily. Also the guests almost certainly sign waivers, so in the event of serious injury the park isn't liable.
Suggested correction: It's easy to nitpick the factual details of "Westworld," the screenplay of which was written on-the-fly on a fairly limited budget, even by early 1970s' standards. Author Michael Crichton (who also wrote "The Andromeda Strain," "The Terminal Man," "Congo," "Sphere," "Jurassic Park" and several other technological thrillers) himself acknowledged that Westworld was more a visual story (like a comic book) than a cerebral piece of science fiction, and he learned on this movie that suspension of disbelief outweighed technical or even factual details, if he wanted to expedite the story in an hour-and-a-half. Crichton said he was having more fun and devoting more time to shooting the film than actually writing it, comparing the experience to playing cowboys and indians as a child. So, yes, Westworld is not much more than an adult fantasy with a number of plot holes that we are supposed to gleefully overlook, rather than analyze.
Except for blatant continuity mistakes you just invalidated every single entry on this site.
Suggested correction: Westworld ensure that any interactions with the robots are entirely safe for the patrons of the park. They cannot prevent humans fighting amongst themselves, just as Disneyland can't prevent people fighting there. People are also injured or die all the time in horse-riding accidents, but that won't lead to people suing Westworld. Due to the nature of the park, all the guests likely sign a waiver stating that any injuries are not the fault of the park.
Utter rubbish. Guests who were completely innocent bystanders could be killed or injured by the actions of other guests, notably in the bar brawl or by the explosion used in the jailbreak. We see one guest smash a barstool against the back of another guest - not a robot - which could easily have broken his spine. There is no question whatever that the owners and managers of the park would be held liable in this and many other cases, just as amusement park owners and managers nowadays are held liable when roller coasters or other rides go awry, injuring or killing guests.
The most plausible explanation would be a waiver that visitors to the park have to sign. The waiver would explain that while the robots cannot harm humans, other humans can, and the park is not held responsible. In the event of death or serious injury, the guest who caused it would face criminal charges and possibly a civil lawsuit. But a waiver would protect the park. Also, the rules of the park may be similar to those in the HBO Westworld series, where the robots cannot cause a "permanent mark", meaning they can injure guests as long as the injury is repairable.

Continuity mistake: When Richard and Francoise are making love on the beach. They begin kissing deep under the water and continue all the way to the top. When they reach the surface they can stand up in the water which appears to be waist-level.

Continuity mistake: There are missing boys in the movie. At the end of The Maze Runner, there are 8 boys that get out of the maze besides Teresa. At the beginning of Scorch Trials, only 7 get in the compound. When Thomas shows the stolen card to the others, there are 6 of them and they all escape with Teresa and Aris. When they get out the mall and enter the city, there are 5 of them besides Aris and Teresa. The last boy (called 'Jack' by cast and crew) dies in a deleted scene, the other two boys simply vanish without a trace or explanation.

Factual error: As Ben is clinging to the staircase while it is falling apart, there is a close-up of a nail being pulled out of the wood. This nail is round-headed, rather than square as it would have been over 200 years ago. It's also shiny instead of rusty, which indicates that it's galvanized. Galvanization as an industrial, metal-preservation process was not patented until 1837, and was not used in building materials until well into the late-1800s. Since the film states the staircase was made by "the Founding Fathers, " and there was no galvanization of iron nails in any industrialized nation in 1780s-1830's, this is a huge anachronism.

Continuity mistake: Arnold goes to the gay bar to solicit the help of the guy he saved at the beginning of the movie. The guy is wearing a white shirt and a vest black/gold lamay. During their conversation he takes off the vest, then it cuts to another bartender. When it cuts back the guy has the vest on, another shot and the vest is off again. (00:08:05 - 01:10:50)

Continuity mistake: When Jason is cutting Marie's hair in the hotel room, his watch is on his left wrist. When he and Marie begin to kiss, in this flipped shot Jason's watch is on his right wrist, his moles have changed sides, and the hand-held showerhead behind them is backwards as well. Next shot his watch is back on his left wrist. The flipped shot has nothing to do with the small bathroom mirror. (01:00:56)

Plot hole: The "death" of the three astronauts and the requirement to then fake the whole scenario of the failed mission was obviously unplanned - it came about because of an unexpected computer glitch which reported that they had burned up on reentry, causing a mad scramble to cover up the fake mission and kill the astronauts. Obviously it was planned to have the astronauts "return" to Earth as heroes after their supposed trip to Mars, maintaining their deception (under threat if necessary) for the rest of their lives. One problem. Every scientist on earth would be champing at the bit to get their hands on a sample of Martian rock. Samples would be worth billions, worth far more than Moon rocks are worth today. How was NASA going to explain they didn't have any? They could not possibly fake the rocks - Martian soil and rocks would have a number of identifiable characteristics that a smart first year college student could identify. Using Martian meteorites collected from the Earth's surface won't work, either - prolonged exposure to the Earth's atmosphere would leave tell tale weathering and chemical changes that would be instantly detectable. NASA have painted themselves into a corner and that is not something they would have failed to realise well in advance.
Suggested correction: They could use meteors that had landed on Earth. This is one of the theories for the "faked" moon landing, that they either created the moon rocks from scratch, or collected meteors. As for the death of the astronauts, that's not a plot hole, it's the plot of the movie; the powers that be wanted the men to fake everything and return as heroes. When they wouldn't play along, it was decided they needed to be eliminated.
It is clear from the narrative of the film that it was planned that the astronauts would "land" safely. Using meteorites would not work - exposure to the Earth's atmosphere would mean (and has meant) that the rocks would show weathering and chemical changes that anyone would be able to detect.

Character mistake: There is no way on earth that a police officer would shoot a hostage in the thigh to 'take them out of the equation'. Anyone who suggested such a thing would likely be taken out and shot themselves. Bullet wounds to the thigh are often fatal, as an injury to the femoral artery causes massive and frequently unstoppable blood loss. Breaking the femur often leads to fat embolisms as bone marrow gets into the bloodstream and then to the lungs. In fact a broken femur is a life threatening injury in itself, and a shattered femur - a typical bullet injury - would almost always result in a total amputation. You cannot aim carefully enough to avoid the bone or artery as their position in the body varies, (as will the bullet trajectory upon impact). Jack is an experienced cop and would know the potentially disastrous consequences of shooting someone in the thigh. He'd shoot him in the foot. (00:21:05)

Continuity mistake: When Frost has the head pure-blood vampire on the beach, after he pulls out his first vampire tooth you see blood all over his mouth, but when it shows the close up of him pulling out the other tooth, there is no blood. (01:04:22)

Other mistake: When Somerset goes back to the man's house alone, he cuts a sticker on the door with his switch-blade to get in. The first error is the sticker is on the inside and it says "Keep Out." The best part about it is the door opens inward. How did they put the sticker on the inside and then exit? (00:20:45)

Visible crew/equipment: During the scene where Neo is talking to Agent Smith in the park area where Neo was talking to the Oracle, there is a close-up on Agent Smith's face. In his sunglasses you can see a bright white screen to reflect the light onto the faces of the actors. This isn't visible in any non-reflected angles. You can also see the cameraman on the other side. (00:51:15)

Continuity mistake: When Cheryl is running through the woods, she is wearing slippers that stay on up until she reaches the cabin door. However, in following shots, she is shown barefoot, and when Ash opens the door her foot is dirty as if she'd been running barefoot the whole time. (00:28:05 - 00:29:10)

Factual error: The Russians stopped using steam locomotives in the 1970's. So bringing one out of retirement in 1997 to haul nuclear warheads would mean that your highly secret nuclear train would be well known among rail enthusiasts for weeks before.

Plot hole: In the end, all they have to do is ask the President, when he's conscious (Liev didn't kill him; he just knocked him unconscious), who killed everyone in the control room and nearly killed him. He would know who the traitor is and it's not Salt - when they look back at the facts, they'll see how Salt only killed when she absolutely had to, and how she saved lives and stopped a 3rd world war.

Factual error: When Chigurh is in the gas station and throws the wrapper on the counter, the "Nutrition Facts" are visible on the label. Set in 1980, the "Nutrition Facts" label wouldn't have been available for at least another fourteen years, as nutrition labels were started in 1994.

Other mistake: When Christian Slater shoots 9 or 10 shots out of a 6-shooter, there is no possible way that he could have had time to reload in the time allotted.

Plot hole: During the later parts of this movie there is much talk about 'continental displacement' and this appears to be happening in the film. The Earth's crust is falling apart because of the heating of the inner core, and all the cities seems to be falling apart since the ground can no longer hold them. When our cast finds themselves surprised to be already over China when they figured to be over the ocean, it is explained that Asia has actually moved from where it was. If this phenomenon is taking place globally, how come the monks in China don't seem to have been disturbed at all? In fact the bell the monk rings as the ocean approaches hasn't even been shaken. The arks are built in between the mountains, but the mountains are apparently fine. Shouldn't they be falling like the rest of the crust?
Suggested correction: The Chinese government, for whatever reason, may have denied there was any crash at all if it suited their purposes, and the oil company that owned the plane would have little recourse. The Chinese have done this before. For the purpose of the plot, the survivors decided that they had to save themselves rather than wait for rescue and that was completely plausible.
Suggested correction: It's now 2021, and we still can't find Malaysian Airlines MH370. So this suggestion of planes always being found is laughable.
stiiggy
MH370 crashed into the ocean, and in fact some wreckage has been found. The Chinese military does not have the south Indian Ocean under satellite surveillance 24 hours a day, 365 days a year, unlike the Gobi desert where a crashed plane would be spotted within hours of it going missing.