Factual error: The film shows cactus and agave plants in many scenes - those plants were imported from the Americas to Judea 1800 years after Jesus.
Character mistake: When Lucius and Clavius get to the crucifixion, after the earthquake, Lucius says "Poseiden's unhappy." Poseiden is the name of the Greek god of the sea. The Roman god of the sea was Neptune. Lucius is a Roman, so he should've said "Neptune's unhappy."
Continuity mistake: In the tomb. Lucius is holding up the head of the burial shroud high enough for Clavius to see the face on the shroud, but the next shot shows Lucius holding it lower and folded down.
Continuity mistake: When Peter and Clavius are sitting and talking, Peter's scarf changes position around his neck and shoulders.
Continuity mistake: When Lucius reports to Pilate after descending the staircase, the shots change, showing the staircase behind Lucius, columns (and no staircase), then back to the staircase again.