The Chalice - S2-E3
Factual error: After the opening credits, Caine is walking along the beach. On the beach behind him, you can see a modern long-board surfboard lying in the sand which gets caught up in a wave.
Visible crew/equipment: When the crow is on the cross Caine tells the crowd there's nothing to be afraid of in a bird, and just as he explains that it's only a creature of the earth, the shadow of the animal trainer can be seen motioning to the trained bird, then it flies off and lands on the trainer's hand. Funny to see Caine and the crowd turn and pretend to watch the bird fly in the opposite direction. (00:28:10)
Revealing mistake: When Fierro's hawk lands on the boy's arm, we can see the protective gear wrapped around the boy's arm under his sleeve. (00:06:10)