Klink for the Defense - S6-E19
Continuity mistake: General Burkhalter is eating Klink's dinner. When finished he places a metal cover over the plate. In the next shot the cover is lying on the table and there is extra food on the plate. (00:15:25)
My Sister, the Homemaker - S5-E12
Visible crew/equipment: At the beginning of the episode, Jeannie is talking on the phone by the stairs and her sister is hiding behind the banister. Her sister stands up for a moment and shows her full face, revealing that it is actually Barbara Eden's stand-in wearing the green costume.
Wings Over Hooterville - S2-E1
Factual error: In a flashback scene, Oliver is hanging from a tree after getting shot down in WWII. They ask him where he is from, and he says the US Air Force. The US Air Force wasn't formed till 1947. During WWII, it was the Air Corps.
Other mistake: When Don and Dr Smith are stealing Sesmar's control unit, look closely at the base of the electronic arch - Raddion is hidden from sight but the careful eye will see his golden feet.
Continuity mistake: When Max is phoning the Chief to let him know the mission's been accomplished, he takes the oars out of the oarlocks before opening his shoephone. The oars change from being out of the oarlocks in the closeups to still being in the water in the long shots for the rest of the episode. (00:23:50 - 00:24:30)
Factual error: We see how the accident-prone Wilton Parmenter was a soldier at Appotomatox during the Civil War when he sneezed. Union soldiers mistook his sneezing for a call to regroup and charge, winning the battle. Wilton Parmenter was awarded the Medal Of Honour. Accident-prone, even in his moment of glory, when the medal was pinned on Wilton's chest it pierced his skin, drawing blood. Wilton was therefore awarded the Purple Heart, becoming "the only soldier in history to get a medal for getting a medal." This was not possible, for the "Purple Heart" (or "Badge Of Military Merit", to use its proper title) awarded to US soldiers wounded in action, was only instituted in 1932. (Before somebody corrects me, George Washington did institute the award for some distinguished combatants during the War Of Independence, but it was never awarded during the nineteenth century, and revived in 1932).
Carmelita Is One of Us - S3-E25
Continuity mistake: In full shots of Kelly holding the baby, it is entirely covered by the pink blanket. But in close-ups, the blanket is pulled back to completely expose the baby's head. (00:17:00)
Urutora sakusen dai ichi gô - S1-E2
Continuity mistake: The submarine is surrounded by burning trees, but when Hayata sticks his arm out to summon Ultraman there's nothing burning in the background. (00:19:40)