Character mistake: When Juliana puts the film on the projector she loads the reel backwards.The film is supposed to drop from the front of the reel, not the back.
Revelations - S1-E4
Continuity mistake: Frank is at the Japanese emperor's event, and he pulls out a single action revolver with the hammer already down, a few seconds later as he's about to raise the revolver, the hammer is somehow up, and he begins cocking the hammer to make the gun operational. (00:49:40 - 00:50:20)
Continuity mistake: The officer committing seppuku is seen drawing his blade, and the katana of his kaishakunin is still sheathed. He grunts as he is about to thrust his blade, and the kaishakunin is now holding his katana in the air, ready to behead the officer. When the officer thrusts his blade into his body, the kaishakunin has a sheathed katana again, just about to draw. (00:21:05)
Factual error: The kaishakunin decapitates the officer completely. Traditionally, the kaishakunin should perform dakikubi, leaving a small piece of flesh attached while severing the spinal cord and other parts of the neck so the head does not fly off. The kaishakunin in the show did not attempt to achieve this at all. (00:21:15)
Factual error: In the transition shot showing Hobart Building in San Fransisco, items not belonging to the scene are visible and have not been edited out. These items include; modern phone numbers, web addresses for several companies and educational institutions, satellite dishes and American flags. (00:24:10)
Other mistake: It's 1962 and in this reality the Nazis and the Japanese empire won WWII, therefore the United States, Europe, Russia lost. Africa is enslaved. The Japanese detectives go to a suspect's house who turns to be a Nazi soldier who shot the Japanese emperor to instigate a war between the two nations. The Japanese detectives locate a Russian made SVD-63 aka Dragunov, 7.62x54r caliber. How could Russia be making weapons if it was occupied or annihilated? Under these dictatorships weapons are banned. (00:07:30 - 00:09:30)
Escalation - S2-E4
Continuity mistake: After Thomas pours Juliana and himself a glass of milk, the position of Juliana's glass moves without her touching it a few times between shots. The amount of milk in each glass also changes.
Escalation - S2-E4
Continuity mistake: When Juliana and Thomas are talking, Thomas pours them both a glass of milk. Throughout the scene, the amount of milk in each glass changes between shots.
Escalation - S2-E4
Continuity mistake: After Thomas pours Juliana and himself a glass of milk, the position of Juliana's glass moves without her touching it a few times between shots.
Other mistake: John is promoted to Oberst Gruppenfeuhrer and assumes the uniform of such. He is soon after promoted to interim Reich Marshal. And then he is subsequently fully promoted to Reich Marshal. But he continues to wear the rank insignia of an Oberst Gruppenfeuhrer.
Suggested correction: John does eventually put on the insignia befitting a Reichsmarschall. It's safe to assume he didn't immediately put it on, either because it took a short time to produce new insignia and send it to him (they wouldn't stock insignia for a rank only a few people hold), or because he was still only acting Reichsmarschall.
Hexagram 64 - S4-E1
Factual error: Juliana reads the Washington Post in the dinner, the paper is dated Tuesday, September 18, 1964. September 18, 1964 was a Friday. (00:31:20)
Continuity mistake: When Kido throws his son out of the house, he knocks over two candles sitting on a table. But mere seconds later, the two candles are back to their original positions.