Flipper and the Bounty - S2-E13
Visible crew/equipment: After Bud wakes up all alone in Bligh's cabin, he soon realises all the doors are locked. Then, just as Bud rushes over to the stern window (particularly the second time), a seated crew member is visible at the bottom right corner of the screen; we can see the movement of a leg and two hands (so, it's not a mannequin).
Deliberate mistake: After Bud overhears the plans for Flipper, he decides to hide his dolphin. When he boards the skiff, there are two flipped wide shots before they head out. Note the reversed dock, launch, and "Whaler" on the skiff.
Continuity mistake: When Flipper guides Rick to Bud's location, Rick carries Bud to the launch and hands him to Mr. Enfield, with Bud's head at Enfield's left arm. It cuts to the next shot, and now Bud is lying in Enfield's arms the opposite way, with his head at Enfield's right arm.
Continuity mistake: While Bud is napping/fishing in the skiff, Flipper grabs hold of the anchor line and tows the skiff. However, in Flipper's closeup, the anchor is missing from the line. Then it reappears when Bud pulls up the line and sets the anchor down in the skiff.