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.
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.
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.
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 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.
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.
During the cemetery scene, the head stone from which the crow flies moves visibly as the bird pushes off.
When all the girls are in Mary Kelly's room, the door knob is on the left side of the door and the distance from it to the broken window is way too far to be able to reach. When one of the girls goes outside, the door knob is on the opposite side and the distance from the door knob and broken window is much shorter.
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.
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-year history, it was called just the London Hospital.
The electric light in the library is much too advanced for 1888, when such technology was in its infancy.
In one scene, Buckingham Palace is pictured as it looks today. However, the eastern wing was built many years later.
(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 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."
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.