Beast is her jailer and if you want to be facetious, she basically develops Stockholm Syndrome.

Not to take it back to Disney, but this is really made clear in the song they added for the stage show.

Of course, reading the summary of the original, it reads like a morality play on the evils of friendzoning.

I agree that it's one of the better fairy tales from a feminist perspective, but that's a really fucking low bar.

I adore the Cocteau movie with every fiber of my being.

She wouldn't be there if the alternative did not mean her father's death.

Not in the original, no. The Beast says she's not supposed to come if she doesn't want to, and she's not kept there, and if she had gone back to her family and not returned to him, she'd have paid no penalty.

The transformation of his personality is not due to her. The transformation of his face is. The lesson learnt during the span of the story (it was later expanded to start from his curse, according to my searching) was by her, that she truly loved him. Incorporating him learning to be a good person was a later addition, and maybe Disney wrote theirs so it's something she teaches him, but that definitely wasn't in what I read as a child.

If I were to be facetious, I'd say that if your takeaway that the big deal is his face changing, then you've missed the point of the story.

Cinderella is always being rescued, and Sleeping Beauty is cursed and then comatose. Snow White, also comatose.

That doesn't seem fair. Cinderella does get a lot of help, but she sneaks off to the ball three times and gets away per the rules twice. Sleeping Beauty is kind of a cipher, but so is everyone else in that story who isn't a fairy - the prince only succeeds in waking her because he happens to come along when the curse has run its course. Snow White manages to survive in the woods on her own long enough to ally herself with the dwarves, who initially don't want to take her in.

She really doesn’t have any bad angles, does she?

That's true. But in the end nothing they've done is what causes the prince to come kiss them (or shoe them).

The prince falls in love with Cinderella while they're dancing, surely that's all her.

Eta: Cinderella, like Beauty, is a merchant's daughter. Higher social status at the beginning of the story -> less agency?

That's true.

The highest social status would be royalty, and that fits Snow White and Sleeping Beauty.

Gretel was a take charge girl. And Red Riding Hood, in some versions of her story.