Continuity mistake: Caine was once shot in the left arm, but the sling is placed to support the right arm.
Continuity mistake: Caine leaps onto a table that has a pitcher on it, which disappears and turns into a small wooden keg that he kicks into the face of the thug fighting him.
Continuity mistake: After Caine slams the bad guy through the window of the store, the face of the stunt man playing Caine is visible and has white powder on the left side of his face. The next shot shows Caine in the store with no powder on his face.
The Squawman - S2-E5
Continuity mistake: Right before the bad guy fires his rifle through the window, Caine kicks the rifle out of his hands and the bad guy jerks backwards, away from the building. The next shot the rifleman still has the rifle in both hands, and is slammed into the building by Caine.
The Gunman - S2-E12
Continuity mistake: The close up shot shows Nedra lowering her head onto White's chest. The next shot is a long shot of her lowering her head on his chest again.