When Jesus is teaching people how to pray with the Lord's Prayer, it is said with the doxology at the end (for thine is the kingdom, etc.). The doxology was not part of the original prayer but was added at a later time.
The killing of the newborns in Bethlehem is carried out by Roman soldiers. In reality the Roman Army had no units stationed in Judea until AD6, two years after Herod the Great's death (when it became a full province of the Roman Empire rather than a client kingdom). Instead, the massacre would have been carried out by Herod's own troops, who were a mixture of Jews, Samaritans and foreign mercenaries.
When Lucius is reading a scroll of Jesus' activities for Herod, Pilate, and others, he recounts the feeding of 5000 with two fish and five loaves of bread. The actor originally said "five" fish which was later corrected by voiceover so that the audience hears "two" on the soundtrack.
When Mary Magdelene is speaking with the Virgin Mary at the doorway, she changes position every time the camera angle changes. Every time the camera is at Magdelene's back looking into the house, she is leaning against the door frame but every time the camera is in the house facing Magdelene, she is suddenly standing straight.
As Jesus is led before Pilate, servants are laying out a red carpet and setting up other decorations as we see Pilate for the first time. The carpet is left rumpled and folded on the stairs as the camera cuts to a close up of Jesus; when we cut back to a shot of Pilate seconds later, the carpet is neat and flat on the stairs.
During the Via Dolorosa where Jesus is carrying His cross and later after He's on the cross, Jeffrey Hunter's fake beard and nose are starting to slip off. In close ups of Jesus on the cross later in the scenes, Hunter's fake beard and nose are corrected.
At the Last Supper, when Peter says he would die for Jesus rather than deny him, Jesus tells him that before the "..cock crows twice, you will deny me thrice." (In that scene, Peter denies Him a 3rd time, and the cock then crows a second time.)
The Gospels tell us that the correct statement is "...before the cock crows, you will deny me thrice."
When the Jews are storming the fortress, several are scaling a tower towards some Roman soldiers who fire arrows down at them. The arrow of the soldier on the left flies backwards out of his hands and he bends over to retrieve it.
During the scene where Barabbas is escaping from the Romans after he has ambushed them, he is alerted to their presence behind them by an arrow skipping off the rock just over his shoulder. The shadow of the person off-screen who "throws" the arrow is plainly visible.
When Lucius is talking to barrabas in his cell he lifts up his leg to unchain him, leaning back has he does so, you clearly see the jail walls are soft and padded as it bends in and out has Lucius moves back and forth against it.