Springtime - S3-E2
Continuity mistake: While Adam and Ted Hackett are talking on the front porch, in the exterior shot we can see the tablecloth inside the house is solid white, but in the interior shots the tablecloth has a red/white check type pattern. (00:31:15)
Continuity mistake: When he introduces himself to Millicent inside the train station, Paul is wearing a dripping wet raincoat. It stays wet in the close-ups, but in the next several inter-cut two-shots, it's completely dry. (00:11:15)
Earthbound - S1-E17
Continuity mistake: The engineer's neck and shirt collar are burned when the instrument panel shorts out. Next shot, as he enters the cabin, the burns have vanished.
Continuity mistake: After he's dragged behind the horse, MacKenzie's facial abrasions keep changing completely from one scene to the next. And one day later, they've miraculously healed enough to be covered by one little bandage.