Visible crew/equipment: After Howard heads to the TV show with the bird, when it cuts to Aunt Bee and Mike in the car the reflection of the boom pole and mic can be seen on the car's rear windshield, and we see it moving again when they all drive away.
Mayberry R.F.D. (1968)
1 visible crew/equipment mistake - chronological order
Starring: Ken Berry, George Lindsey, Jack Dodson, Paul Hartman
Aunt Bee's Cruise: Part 1 - S1-E15
Revealing mistake: Aunt Bee is traveling on a cruise ship. The "water" in the background is a painted backdrop which is made all the more obvious by the painted whitecaps.