Lucy tells Pierre that the mules have the drug hidden in their intestines, but the trafficking method employed by Mr Jang instead involves surgical implantation of the drug package inside the abdominal cavity. Lucy should have known the difference by this point.
When Lucy is talking to Pierre and tells him the CPH4 will be in the form of a blue powder, the drug is actually blue crystals. She made the same mistake when the drug boss asked her what was in the case and she described the contents as 4 bags of blue or purple powder.
The German police officer arresting a mule says, "Komm mit mir mit.", i.e. "Come with me." but addressing the mule informally ("duzen") which is very impolite and highly unlikely in the given situation. The correct form would be "Kommen Sie mit mir mit."
When Lucy uses the surgeon's phone to call her mother, Lucy tells her when asked what time it is that she doesn't know and it's night. However when she takes the phone from the surgeon's pocket the time is clearly visible on the front, even if it is partially obscured by her thumb.
Lucy had moved beyond the constraints of her humanity, but chooses to give her knowledge to the assembled scientists. Despite this she showed zero concern for the potential injuries and death caused by her erratic driving in the race to the hospital. She was already multi-tasking well enough by then to have protected anyone effected by her driving, perhaps wrapping each person or car in a force field to keep them safe, thus keeping her integrity intact.
There were a total of four CPH4 packs carried by four drug mules. Half of Lucy's pack leaked inside her body while she consumed the other half on the plane. Thus there should be only three packs left. However when the scientist opened the suitcase containing the packs before giving her intravenous transfusions (at around 1h 10 mins), there were clearly three and a half packs left.
When Lucy leaves the hospital with the drugs, the car GPS/status screen states the time as 15:00 (3pm). However, when she is at the University a short time later, the wall clock over the entrance doors show the time to be 1:05 during the demonstration video of the car disappearing when shown at infinite speed. Just seconds later, the gunmen shoot their way through the security checkpoint and the clock at the end of the hall clearly reads 11:05.
When Jang is walking through the airport and speaking on his cell phone, the view is from behind him and his gold watch is clearly visible over the bandages of his left wrist. When the camera angle switches to a frontal view, the gold watch on his left wrist is gone.
When Lucy is zooming from once place and time to another while sitting in the desk chair after reaching 80%, her first stop is the Eiffel Tower. She seems to be zooming in a certain direction, while scenery zips by in a blur, stopping at the Esplanade du Trocadéro in the Palais de Chaillot, where Lucy lurches forward due to forward momentum. She is facing the Eiffel Tower. When she zooms away, she seems to be traveling through the Champs de Mars with the Eiffel Tower receding and the Palais de Chaillot behind the Eiffel Tower, also receding. There seems to be a conflict between wanting to show Lucy's point of view and wanting to show that she is leaving the Eiffel Tower. If this shot was from her POV, the Eiffel Tower and Palais de Chaillot would be behind her at this point.
When Lucy returns to her friend's apartment to use her MacBook, Lucy is shown accessing hundreds of websites per second to consume information leading her to Professor Norman. Although the speed at which she's able to read and comprehend the pages seems reasonable given her intelligence boost, the MacBook itself would not have the processing power needed to continually access and navigate so many sites in such a short period. The laptop would freeze or slow considerably given the strain.
When Lucy is going back in time towards creation chronologically, she encounters a dinosaur prior to encountering Lucy the hominid largely recognized as the oldest living fossil with human ancestry. Lucy is dated to about 3.2 million years ago and dinosaurs are estimated to have gone extinct about 65 million years ago.
Lucy first optically scans the police frequency spectrum for a specific cell phone connection and then uses the police car's radio to listen to the phone call after manually tuning it to 26.695 MHz. She should neither need to manually tune the radio, since she has control over electronic machines, nor do cellphones operate on frequencies below 900 MHz.
When Lucy uses the visual analogy of a car traveling faster and faster until it disappears from sight to explain that "Time" is the most important thing, this is incorrect and misleading. If an object were to travel so fast that it appears invisible, as depicted in the video, it wouldn't actually disappear. In fact, it would essentially create a wall along its path. This effect is analogous to the nature of atoms in which subatomic particles revolve around the nucleus of the atom at such great speed that it keeps the atom together which results in the formation of matter as we know it. Therefore, the car would not disappear as suggested in the video segment, but rather transform into an impenetrable wall of energy encircling the Earth along its path, as it approached infinite velocity.
The rounds could not fall from Pierre's pistol in that way; Magazines are open on the top. I could see Lucy make the magazine fall out... and then something else could happen to the individual rounds. Unless the ammo was made to pass 'through' the floor of the magazine, it could not happen that way.
When Lucy rolls up the wall and ceiling of the prison cell as if unaffected by gravity, her t-shirt is hanging in a different direction in each shot - towards the wall or ceiling - revealing the use of a rotating stage.
When Lucy uses her power to drop the rounds from Pierre's pistol, there are firing pin marks on the primers of the rounds, indicating that there are spent cases that have already been fired then had fake bullets inserted into them.
In spite of a supposedly freshly-opened (from the kick) and bleeding surgical wound on her abdomen, and a blood-soaked bandage covering it, none of the blood appears on the white shirt she wears over it.
The goof item below may give away important plot points.
When Lucy enters the operating room and kills the patient, she tells the surgeon that he was already doomed because the "tumor invaded the cortex at the right side of his spine". Had they been performing surgery on his spine, the patient would be lying on his front. Also, the scan on the wall was of a brain.