(at around 1h 8 mins) When Abberline is taking Mary into the gallery to view the picture of Prince Albert Victor, they pass the same lady in the white dress twice in different shots.
McQueen's ear is whole in some scenes and it is cut (for an earring) in other scenes.
(at around 48 mins) When Abberline first meets, and discusses the Ripper killings with Sir William Gull, Abberline's drawing of a Liston knife keeps changing shape and position on the blackboard between shots.
The size of the chalk letters with the word Juwes written on it changes shape from when Abberline points it out to the time the constables wipe the chalk board clean.
(at around 41 mins) Upon arriving at the murder scene (in the back yard of a house), Inspector Abberline's coat and hat are clearly hung upon the fence a moment before we see him actually hang them there.
(at around 1h 10 mins) A little after the second murder, Abberline is talking with Gull about "Jack the Ripper". However, he was not to become known by that name until the double event murder and receipt of the "dear boss" letter, almost a month later.
Liston knives were not serrated as they were used for the cutting of muscle. Only bone saws and the like had serrated edges.
The medical instrument being used by Dr. Ferral for the lobotomy is a serrated circular trephination instrument for making a burr hole in the skull to let out demons or relieve pressure. Lobotomy instruments are long, thin and pointy, like an icepick.
It is claimed that Alice is a legitimate heir to the throne of England. But Alice's mother was Catholic, and her marriage to Prince Albert Victor was a Catholic ceremony, so under British law of the time, as a Catholic Alice could not ascend to the throne.
Ann's teeth are beautiful and without much dental work showing when she screams before her surgery. Her teeth would have had much decay and work done during the 1800's.
By the late 1800s glass windows were becoming common, and while the glass was heavier and sometimes uneven, it was certainly clear and very much like modern glass (although more expensive). While still produced by a glass-blower, it could be blown into large sheets and cut for windows. Thus the modern-looking windows in the movie could have been around in 1888.
When Abberline gets smacked at the beginning of the movie to try to get him somewhat conscious, seconds before you can see the 'blood' on his lip where he is supposed to be hit.
(at around 32 mins) During the cemetery scene, the head stone from which the crow flies moves visibly as the bird pushes off.
(at around 30 mins) In 1888, a bottle of laudanum would not have been labeled as poison, as it was a popular, socially acceptable, and inexpensive painkiller and sedative at the time.
(at around 15 mins) We see a shot of the Royal London Hospital in Whitechapel. However, it only gained its "Royal" status in 1990 - for the duration of its previous 250 years history, it was called just The London Hospital.
(at around 1h 30 mins) The electric light in the library is much too advanced for 1888, when such technology was in its infancy.
Several lobotomies are shown being performed in 1888, but this process was first performed in Switzerland in 1890, and did not become common until at least 10 years after that.
(at around 30 mins) The absinthe fire ritual is only usual since the late 1990s, from a Prague bar. In 1888 no one would have prepared absinthe with setting it on fire.
When Gull and Abberline are first discussing the murders, there is a shot from behind Gull when he is talking. His mouth does not match up with what he says.
The film depicts the Ripper in his carriage en route to pick up his next victim (as depicted in the next shot) racing along the Thames with Big Ben and the Tower in the background. This would mean that he was on the wrong bank of the Thames, racing away from the Whitechapel district, which was located within easy walking distance of the Tower.
The surgeon is addressed as Doctor Ferral (American style) rather than Mister Ferral (British style).
William Gull says that he is the Royal Family's "physician-in-ordinary," misspeaking the scripted line "physician-in-extraordinary."
(at around 1h 17 mins) Inspector Abberline explains to Mary Kelly that they should pass notes via the barkeep of a nearby inn. "Barkeep" is an American usage; in England it would be "barman" for someone working in the pub or "landlord" for the owner.