Amount of coins in the bowls that are showered over Ivan at the end of the coronation scene.
When the people in the village ask Ivan to come back to Moscow, some shots show people in the background standing, other shots show them kneeling.
After Anastasia's death, when discussing the Livonian war the "only" son of the Czar is mentioned. However at the time Ivan had two sons, Feodor, who became Czar Feodor I of Russia, and also Tsarevich Ivan Ivanovich.
In one scene Ivan is discussing his plan for the Livonian war, which started in 1558 and once scene later his wife Anastasia is dying from poison. Between these two scenes are two years.
Nearly at the end during the big speech, set in the 1560s there is the Cathedral of Christ the Saviour in the background, which idea was originated in 1812 and was built from 1839-1883.