Tim, the film contains more than 30 mistakes. [Y!A does NOT provide sufficient room to list all, but the SOURCE lists all. Prime examples are noted below.]
COSTUME ERROR: The dress worn by Bérénice Marlohe is described (and referred to by Bond) as backless. The dress was not backless. It is sheer fabric encrusted with crystals.
__When Bond is about to fight Patrice in Shanghai, the hammer of his gun changes its position multiple times.
__In the Shanghai Tower scene, the terrorist/sniper is seen operating a manual, bolt action rifle. Right after that, during the fight with James Bond, the gun is shot several times just as if it were a semi-automatic weapon.
__When M is first debriefed by Gareth Mallory, she enters carrying a handbag, which she places on the floor beside her. The meeting ends abruptly and she leaves, But she is not carrying her handbag.
__When Bond and Sévérine are walking on the island, her shoes change color between shots.
__The wristwatches of the participants in the Ministerial Hearing are set to a variety of different times - even among participants sitting at the same table.
__In the gallery Bond and Q sit on separate benches when seen from behind, but in the frontal shot they sit on the same bench.
__On the sailing yacht Bond puts the radio device in the right side pocket of his trousers, but when he shows it to Silva he has taken it from the left pocket because his right hand is holding a gun.
__When Bond and Séverine are approaching Silva's island, she's not wearing any makeup, however, later when Silva puts the glass on her head to test Bond's aim, it's evident she was beaten and has been crying ruining a mascara she was not wearing before.
__The level of whiskey in the glass on Séverine's head varies between shots.
__In the Dragon Casino bar Bond's drink is poured into a frozen glass, but in the next shot the glass is not frozen.
__When Bond is hanging under the elevator, he sees the shadows of the opening doors and Patrice stepping out. In the next shot Patrice steps out a second time.
__In Shanghai, Patrice enters the skyscraper carrying one slim case, which contains the glass cutting device as seen later. So where did the rifle come from?
PROPRTY ERROR: During one of the beginning scenes, after Bond crashes his bike into a bridge wall and lands on top of a moving train, he almost slips off, but we see in a scene of the train moving away from the bridge that there is a platform which was supporting him as he was climbing back up onto the roof.
__The suggestion is that the building the Ministerial Hearing is being held in is in Westminster, in one of the Ministerial buildings off of Whitehall; however, the building 'Silva' enters is Trinity House on Trinity Square, close to Tower Hill and the Tower of London, several miles away, with Bond and others exiting the building after the shootout onto Seething Lane Garden.
__When leaving London the map discussed by Mallory and Q shows a route up the A9 on the east of Scotland. One of the mountains shown soon after is the distinctive Buachaille Etive Mor which is adjacent to the A82 and marks the entrance to Glencoe on the west coast.
__The shrapnel taken from Bond's shoulder are 'depleted uranium' yet these rounds do not go through the mild steel cab of the digger nor do they go through the glass.
__Silva says that after he bit the capsule with hydrogen cyanide it "burnt his insides" but he "didn't die" because "life clang to him", and he then shows the "effects of hydrogen cyanide". All of those statements are errors. It's impossible for life to cling to anyone who ingests this chemical and he or she invariably dies within 1 to 10 minutes. The chemical doesn't "burn the insides"; it causes oxygen deprivation and death. It was used in Nazi Germany under the infamous name Zyklon B to kill people in extermination camps. It also doesn't cause any of the deformities shown by Silva.
__Both Silva and Bond slide down the center escalator divider in the chase in the tube station. This would not be possible since, on the London Underground, there are protruding metal discs at regular intervals to prevent exactly this behavior.
__During the motorcycle chase, shots from behind show the riders are wearing padding underneath their clothing, particularly obvious for James Bond.
__When the tube train falls through the hole into the area below, all its lights are still working. Once each carriage leaves the rails, which carry the electric current, these would all have gone out and the train would have been in darkness.