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.
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.
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.
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."
Continuity mistake: The very first scene of the movie the boy rides in on the donkey and has a stick in his right hand he uses to hit the left side of the donkey. The shot changes and another boy yells, "gaka lama lako." and the shot changes to where the camels grunt, notice that the camels, from right to left are as follows in color: beige, beige, white, beige. The shot changes to boys shouting, then the shot changes to the boy about to get off the donkey, but notice the stick in that boy's hand has mysteriously disappeared. The boy gets off the donkey and runs up the platform, and this is where you notice the order of the camels has changed to: beige, beige, beige, white.
Continuity mistake: When Leeloo is learning English using the Priest's computer, just before David asks him what she's doing, Leeloo is looking at words beginning with "na" (such as "nasty") but as soon as the shot changes she is looking at words beginning with "matt" (such as mattress). Just before she selects "martial arts", she is looking at the following words : master, mastered, mastering and meadow. Firstly, "master" (et al.) all come before mattress in the alphabet, and secondly, mattress (and lots of other words) are between mastering and meadow.