During construction of the Robinson's tree house residence, Father Robinson shows Mother Robinson the stairs to their bedroom saying, "This is your own circular stairway"; perhaps a reference to Dorothy McGuire's popular 1945 film The Spiral Staircase, as the stairway is obviously 'straight' and not circular.
Disney officially announced that a remake was in development with Mandeville Films co-producing the movie. It was scheduled to be released in 2012 but never happened.
When we first get a shot of the Pirate King, he is wearing a Red Coat. Then, in the next shot, he's wearing a blue officer's coat. Colors are alternated throughout the movie.