When the Mangalores first bring the box of stones (which turns out to be empty) to Zorg, it shows him lifting the lid. It's obvious there is a frame cut at this point because the scene 'jumps' a bit to the right before he closes the lid again.
In the first scene where Zorg is walking, the sound of metal clinking is heard when his right foot hits the ground. After his face is shown, the metal clinking is heard when his left foot hits the ground for the rest of the movie.
In the penultimate scene in the temple, Ruby, unable to light the fire stone because he has no matches, claims that he would have some if he had not quit smoking. However, he is seen smoking earlier in the film, the cigarette being lit by one of his toadies: Ruby has not so much quit smoking as he has, being a galaxy-class VIP, quit lighting his own cigarettes.
When "Fingers" calls Korben on the phone to tell him about the cab needing its 6 month overhaul, he mentions he sat next to Major Dallas (Korben) "for a thousand missions", meaning he was a soldier in the same "elite special forces unit of the Federated Army" as Korben. Yet, when General Munroe comes to the apartment to talk Major Dallas (Korben) into a mission "to save the world" (to retrieve the stones from the Diva), he tells Major Dallas that "out of all the members of your unit, you're the only one left alive".
When Leeloo is on the ledge of the building when she is escaping after being revived and the police are scanning her, when the picture of her is captured - the screen next to her picture says "commencin initial...."
After Rhuby Rhod's first broadcast in the airport interior, the commercial audio for the Gemini Crocket Contest runs in the background. Since Korben has already won, there is no need to keep running this commercial.
After his first broadcast, Ruby's assistant lights up a cigarette for him. Ruby smokes while his staff is telling him how "green" the show was. When he glance at Korben, the cigarette is still in his left hand.But the next second, he dismiss his whole staff with his left hand, and the cigarette and the smoke emanating from it are both gone.
We see three Mangalores advance on Korben and Ruby in the first row right after Korben tells Ruby to guard the stones, then we cut to the President's office. When we cut back to Korben he has now shot three Mangalores at the front entrance to the opera house and the arms of his shirt are now torn. There is no scene detailing what happened to his shirt or the Mangalores.
The movie switches from ancient Egypt to the future and notes on screen it is three hundred years later, but a personal affect of Corbin's has a date of 2263 on it, making it about three hundred and forty-nine years later.
When Leeloo falls through the cab roof and Korben has to pull over and puts the cab on "automatic", the word "automatic" on the button is the wrong way down, but later when he pushes the button again to start running from the cops, the writing on the button is almost perfect.
When Leeloo is exiting the shuttle on the cruise ship, the camera dollies forward and there is a crew member on the left of the screen with a radio. The camera quickly adjusts to remove him from the shot.
As General Munroe and Doctor Mactilburgh walk into the Nucleo lab just as the doors open you can see the camera dolly tracks on the floor for a brief second. This is right after Mactilburgh says, "can't wait to meet him". Then the doors open to revel the lab interior and you see the tracks.
DNA does not need to be more tightly packed, for primitive animals have far more DNA than humans do - quantity does not equal complexity. In fact the living organism with the most DNA is the humble water lily.
In the beginning of the movie, in the temple, the young scientist fires at the Mondoshawans using a Mauser C96 pistol with an extended 20 round magazine. This variant of the Mauser "broomhandle" called the Schnellfeurer was not produced until 1932. Interestingly, Astra made the first C96 copy with an extended magazine and full-auto capability, the Model 902, starting in 1928. In any case, the type of pistol used was not commercially available until long after the year of the opening scene.
The instructions in DNA are analogous to those in origami: an embryo develops by consecutively folding cellular structures. DNA does not provide any description of the completed form. The process shown is as impractical, but more so, as trying to manufacture a paper airplane or flamingo in the final state, rather than folding a sheet of paper.
The four symbols for earth, wind, water and air, as seen on the temple wall in the beginning, are different from each other, albeit similar. When recreated, supposedly, on the buckle of the belt of the priest at 12'49" the symbols are in a different order and two are identical.
A few minutes after Leeloo crashes through the roof of Korben's flying taxi, he zooms away with her from a flying police "car" that has pulled alongside his taxi. As he speeds away (at 35:58 in the movie), a sound like squealing tires is clearly audible. This should be impossible for a flying vehicle with no wheels (although it does make for a nice dramatization of the moment).
At the spaceport on their way to Fhloston, Korben takes David's ID, looks at it and calls him David when David is impersonating Korben. However, when David shows the fake ID's to Vito, he checks it and says "Korben David Dallas". When Korben shows up to the spaceport he takes David's ID looks at and since he knows David is not his middle name he just assumes his name is David.
When Leeloo has crash landed in Korben's taxi cab, when she looks up through the glass cab panel she has a strand of red hair across her nose and cheek that could be taken for blood, explaining why it "disappears" later.
How was it intended that Dallas or someone else would actually acquire the stones if the courier had not been so conveniently killed? Everybody only knew that the diva had the stones in her possession. Nobody was ever informed that the stones were actually inside her body. She even traveled with a chest that acted as a decoy. So, Korben, Zorg, and the Mangalores all expected to simply take the stones and not surgically or forcibly remove them from the diva's body. If there was a way to get the stones into her, there was likely a way to get them out without killing the diva, and the diva's assistant even implies as much to Leeloo, telling her she'll get the stones after the concert. Korben digging them out of the diva's body after she dies was simply an act of necessity given the circumstances.
After Leeloo has fallen into the taxi and is pleading with Korben for help, she sees a sign that says "Please help" and instantly understands how those two words are pronounced. For her, the alphabet should appear as gibberish and, even if she were able to realize that she was looking at writing and surmise the meaning, she should have had no idea how to pronounce it.
General Munroe and associates are pushed into a freezer at Korben's apartment and are clearly frozen however later in the film General Munroe is seen again. At no point is his unfreezing mentioned in the movie.
In the first scene, when the Mondoshawans arrive to take the "fifth element" statue in the hidden room, the camera pans up and over the statue to an overhead shot. This statue has apparently been untouched for several hundred years, and would naturally be uniformly dusty. Unfortunately there is an obvious clean human hand print on the top of the statue, presumably from whoever put the statue in place for the shot.
When Leeloo is standing on the ledge and is being blinded by the police lights she raises her hands right before she jumps. Her hands are very dirty, almost completely black. After that she jumps down, crashes into Korben's cab, and puts her hands against the glass, here you can see her hands are much cleaner. Also her face seems less dirty. And when she jumps off the ledge, the police vehicle is no longer hovering directly in front of her.
Three of the stones are placed so that their markings align with the corresponding symbol on the plinth, the exception being the stone thanks to which the riddle is solved. This more complicated prop is placed upside-down, presumably due to a mistake in its construction.
In all shots of Leeloo up to the scene with Cornelius and David where she points out the planet to Cornelius on the monitor, there is a visible mark on her forehead (just above her left eyebrow) - not a dirt mark but an actual physical blemish on Milla Jovovich's head. However, just before the scene changes, it magically vanishes, and never reappears in the remainder of the movie.
The goof items below may give away important plot points.
When Korben Dallas takes the stones out of the Diva's body and places them into his jacket, the sleeves on his shirt are alright, but right in the next scene with this character, the sleeves on his shirt are ripped and ragged, completely messed up. A scene explaining what happened with his sleeves is missing.
In the beginning of the movie when they are at the temple, the Mondoshawan gets stuck in the door of the secret chamber, however at the end of the movie when they re-enter the temple supposedly 300 years later, the Mondoshawan is completely gone with no trace. But you don't see the entrance to the temple so it is possible it is still there or since it has been about 300 years since the beginning it is possible that the Mondoshawans went back and retrieved their lost friend. Or that David found a way to move the Mondoshawan body when preparing the temple; obviously, he opened the door that originally crushed the Mondoshawan.