Which movie truly "saved" the Disney company?

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By the time Mary Poppins was released, the company was well established and at the peak of its success during Walt's life. Mary was confirmation of that (in a big way), but Disney had plenty of other hits during that era like Swiss Family Robinson and The Parent Trap. I don't think "saving the company" is the right term for it.

Walt Disney used the profits from Mary Poppins to start a special division of Imagineering called "MAPO". Expanding the technology that Imagineering used to create the audio-animatronic bird in Mary Poppins, the division created other audio-animatronic figures that we know today - Pirates of the Caribbean, Enchanted Tiki Room, and Great Moments with Mr. Lincoln.