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Anastasia IS Disney. It was a Fox film so they own it now. They also now own Titan AE, Ice Age, and Prince of Egypt as well.It really depends on who would be responding to the poll.
If it's KH fans, they'll probably vote for worlds they've been wanting for ages, like Treasure Planet/Princess and the Frog/Nightmare Before Christmas again/Moana, etc. These are the ones I see most often on forum discussions.
If it's mostly the general public who responds, I would unironically expect a lot of them to choose movies that aren't Disney but that everyone thinks are Disney, like Anastasia or Shrek or Land Before Time.
Obviously, you'd get a lot of requests for Star Wars and Marvel, which may or may not be actually feasible in the future.
And then of course you'd have the jokers who would vote for stuff like Family Guy or That's So Raven or (and I totally believe people would actually pick this) Song of the South. Just for shits and giggles.