Are you absolutely sure that "Snow White"s whiteness is no defining characteristic of hers? I mean sure, change Ariel or whoever, but “Snow White”?
This is a new level of blatant and boring racism. If someone has a surname of brown, do they need to be non white? Weirdo shit.
“Snow White” is the name of the princess because of her alabaster skin. It’s in the story.
“How I wish that I had a daughter that had skin as white as snow, lips as red as blood and hair as black as ebony.” Some time later, the queen dies giving birth to a baby daughter whom she names Snow White.
Sure, it doesn’t matter that she’s white, but this story specifically makes it a topic of the plot. There’s no reason to forcefully change this specific story. You can change literally any other story where it’s not a plot point.
But it has no actual impact on the story. If the characters within the story find her skin to be attractive, that’s all you need. White/alabaster was originally chosen because of the values those writers had. These writers have different but equally valid values.
There is no objective measure of beauty in this world. It’s all down to taste and preference.