Visible crew/equipment: Martha and Lionel are in the barn when everything starts to fall apart. The camera shot changes from them to a boat falling from the rafters. As it falls there is a visible production crewmember hiding next to the window, holding a hay bale.
Continuity mistake: When Zod/Lex pierces Lana's hand, he pierces it at the same level as Lana's head. But in the camera angle immediately following, Lana's head slide downs the wall and draws level with her hand.