The Night That Terror Stalked the Town - S1-E10
Continuity mistake: When Dr. Loveless records his and West's conversation, West says "You belong in jail." When Dr. Loveless plays the recording for Janus in a subsequent scene, West says "Jail is where you belong." (00:14:05 - 00:16:40)
The Night That Terror Stalked the Town - S1-E10
Continuity mistake: West pulls a gun on Artemus and places it just behind his head. In the next shot, though, West is standing two feet away and the gun is nowhere near Artemus' head. (00:45:30)
The Night That Terror Stalked the Town - S1-E10
Continuity mistake: Three fourths into this episode, West is in a room with an hourglass. The hourglass shows a few grains of sand before it empties. Next shot is of Gordon trying to get through the chained gates. Camera shot back to West's room, which shows a fuller hourglass with more sand, which lasts for minutes as this episode continues, until all the sand empties from the top.