Gilligan's Living Doll - S2-E21
Audio problem: As the Skipper is talking about respect, watch his lips. You can see him say boat, but you hear ship.
Castaways Pictures Presents - S2-E7
Continuity mistake: The amount of rope around Mary Ann varies between shots.
Beauty Is as Beauty Does - S2-E2
Continuity mistake: They used a standard electric phonograph. Later on, the phonograph is a bamboo and wood device with a ship's wheel as the turntable. It had to be cranked like the old Victrolas to work.
Continuity mistake: When Skipper tries on the sheet to teach Gilligan not to be scared, we see him putting it on and it is solid white. However, when Gilligan says he isn't scared he says it is because a "ghost doesn't wear a sheet that says S.S. Minnow on it." Now the sheet has wording on it. (00:08:45)
Continuity mistake: As Rodriguez goes back to Ginger, the Skipper straightens his hat. In the closer shot, Skipper straightens his hat again. (00:09:55)
You've Been Disconnected - S2-E17
Character mistake: Upon learning after the storm that the telephone cable was washed back out to sea, the Professor mentions the cable will eventually corrode and break and the Skipper says then a repair crew will have to come out and fix the cable so they'll be rescued. How? The cable is out to sea and a repair crew would never even get to the island since the cable's not there.
Plot hole: Mr. Howell suggests the switching vodka for water idea, and then Gilligan empties one vodka bottle and puts water in it for the castaways. But there's no way this plan could have gone through since no castaway knew in advance how much vodka or how many bottles the Russians had to execute such a plan.
The Friendly Physician - S2-E29
Other mistake: The whole time the control for the booths is operated, the handles are pulled towards the camera. In the final lab scene, Gilligan flips the lever towards the camera, but you can see the indicator reads 'OFF'.
Other mistake: When Gilligan and the ape are staring at each other, with the idea that the ape will stay hypnotized and ignore everything else, look closely at the ape's eyes. The actor in the suit glances twice and the Skipper and Professor as they pass.
Answer: Bob Denver answered this when he was on a talk show hosted by Pat Sajak. He said they were going to write into an episode where the castaways found all these clothes, but it got too complicated, so he said, they decided, "who cares, it's only a TV show," and forgot about it. So the writers and actors even asked this, they just never bothered to address it.