The Night of the Inferno - S1-E1
Audio problem: The scene begins with Artie sitting in a rainstorm. Then, when the wagon carrying West arrives, the rain stops, but the sound of the rain is heard through the duration of the scene.

Starring: Robert Conrad, Dick Cangey, Ross Martin, Whitey Hughes
The Night of the Inferno - S1-E1
Audio problem: The scene begins with Artie sitting in a rainstorm. Then, when the wagon carrying West arrives, the rain stops, but the sound of the rain is heard through the duration of the scene.
The Night of the Avaricious Actuary - S4-E11
Continuity mistake: The letter from the Cyclops Insurance Company that Gordon pulls out of his pocket is folded, wrinkled, and well-worn. In the close up of the same letter West reads, the letter is white, pristine, and not wrinkled or folded.
The Night Dr. Loveless Died - S3-E4
Trivia: Dr. Loveless' uncle's name, "Liebknicht", is, aside from the addition of the letter "k", German for "Loveless".