Revealing mistake: Right after they "create" Leeloo and she is lying in the plastic cage with the little straps on her, the guy approaches her and says, "if you want out, you are going to have to work on your communication skills." She gives him a dirty look, and then you can see a huge hole, pre-cut in the glass, that she busts her hand through.
Continuity mistake: When the police confront Leeloo on the side of the building, she raises her hands and we can see that they're covered in soot. She jumps off and lands in Korben's cab. When she comes to, she presses her hand against the glass, and her hand is magically clean.
Continuity mistake: When Zorg is first seen walking, and the screen only shows his legs, there is an audible clank as he steps with his RIGHT leg. After that, the clank is heard from his left foot.
Continuity mistake: After Leeloo fights the Mangalores in the Diva's room but then has to give the stones box to Zorg, she throws it to him with forward rotation but when the box is shown flying through the air in slow motion, it's rotating backwards.
Continuity mistake: When the cops go looking for Korben and Leeloo in the fog, there are two orange light sticks hanging from the ceiling inside their car. From the outside looking in they are swinging from side to side very quickly. But from the inside looking out they are swinging from side to side very slowly.
Other mistake: In the scene in the beginning when you first see the fifth element, and the camera moves up so you see the wide open mouth, look to the shoulder on the left. In the years of undisturbed dust, there are a few finger prints.
Continuity mistake: When the police are chasing Korben and Leeloo in the taxi, Korben uses a video display map of "Manhattan 2nd District". When he switches it on, it looks normal, but when the camera cuts away then back again, the display is reversed as though it were in a mirror.
Revealing mistake: When Zorg is talking on the phone with Mr. Shadow, a tube is briefly visible on his forehead. It is used to deliver the brown "goo" onto Gary Oldman's head a few seconds later.
Audio problem: During any scene where weapons are being fired, the audio has the sound of cartridge casings falling onto a hard surface, but none of the weapons are ejecting cartridge casings to fall.
Continuity mistake: When Corben bails on the 5-0 (in his taxi with Leeloo), he yanks the police car's winch right out of the car (which resulted in dragging the winch, as well as the entire length of the cable behind his taxi). In the next shot showing his car (4 police cars chasing him down the "street"), the cable and winch have disappeared.
Audio problem: When the stewardess is telling the people that she's putting on the sleep regulator, they show a different shot, and you see in the background she's mouthing words that don't match up.
Continuity mistake: When they are trying to place the stones in the temple, Korben picks up either the water or air stone - by the time they get to the plinth he's holding the fire stone.
Other mistake: When Leeloo escapes onto the ledge and goes around the corner of the building, there are people walking across a small bridge. One of these people vanishes in the middle of the bridge when walking to the left.
Revealing mistake: Whilst Diva Plavalaguna is singing, you can see the back of her head creasing and bending. This is because the suit that the actress is wearing is made out of foam latex; confirmed by Nick Dudman, Creature Design Supervisor on the DVD featurette "An Audience With Diva Plavalaguna".
Revealing mistake: After Korban meets Ruby and everyone leaves them alone, Korban grabs Ruby by the neck and holds him to where his feet can't even reach the ground. In the first shot, you can tell that Korban's hand isn't even applying pressure. In the next few shots of Ruby, still being held off the ground, you can now see that Korban's applying a little pressure now, but probably not as much as there should be while holding a full grown man a foot off the ground.
Continuity mistake: When the techs are analyzing the dark planet right before the first attack, the first tech turns to the second to report the sudden drop in surface activity. Between that shot and the following one on the second tech, the first tech's hand jumps from at his side to rising in front of his chin.
Continuity mistake: When Billy shouts at the Priest while holding the gun, there is a tripod standing behind Billy to his right. Billy yells, "Don't move." The shot changes to the Priest and then back to Billy again when Billy says, "I have a gun" you notice that the tripod behind him has disappeared. The tripod reappears in the overhead shot where the Priest says, "I'll explain everything."