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I feel like it's a race between Tiana and Jasmine, but at least Aurora can relate to Jasmine in the sense that they're both trapped and they both sorta have arranged marriages. (Jasmine to a lesser extent, but still) Tiana just is all about work and work and work and she doesn't believe in dreams when that's all Aurora is about!

^Agree

I guess. Her or Mulan

I don't think Aurora would like that Jasmine put her desires above her duties.

^True. but I still could see them getting along. they're feminine and graceful and seem like they could share hobbies together. they're just very different attitude wise (shy vs outgoing, only confident sometimes vs always confident, quiet and obedient vs loud and rebellious, etc).

They're total opposites

She'd hate her recklessness and selfishness.

I know I'm in the minority but I honestly don't think Aurora would dislike Jasmine. I don't think they'd be the best of friends, but I don't think they'd mind each other (if anything Jasmine would be more bothered by Aurora than Aurora by Jasmine). I know they have opposite personalities but that doesn't mean they would hate each other because of it. I think they'd enjoy hanging out from time to time, but any more than that and they'd go crazy.
If this question is asking about Aurora watching the movies rather than meeting the Princesses, then I still think the same - I think Aurora would like that Jasmine is different from her - but again, I don't think she'd love her or anything, because Aurora is more obedient towards authority than Jasmine. Basically on Aurora's favourite list, I think she'd put Jasmine 7th or something.

I don't think Aurora would dislike Mulan, but I can't see her liking her all that much. She'd admire her actions and respect her family values but she just wouldn't connect with the character.

They'd connect with dreams but wouldn't with anything else, I think Aurora would be disgusted with Ariel's unprovoked selfish behavior. I think Aurora and Jasmine might actually connect with each other on palace life and learn a few things from each another, and like Mongoose09 said I have a much easier time believing Jasmine would mind Aurora rather than the reverse. They wouldn't be best of friends or anything, probably they'd be my next choice, but I see this pair getting along less well.

My next choice will be Tiana.