[Written for my own amusement, just to save characters from the chopping block. If it's not your thing, please don't flame me.]
Yue Mi, daughter of the First Generation Vongola family and the Rainbow Children, accidentally arrives in a parallel world of Katekyo Hitman Reborn! During the curse inflicted by Checker Face, she gets caught in a space-time rift and is whisked away by the world consciousness of Bungo Stray Dogs.
After a friendly conversation, she gains access to a black card, a house that can't be disturbed or damaged, and a list of talented people. Satisfied, Yue Mi arrives in the world of Bungo Stray Dogs and begins her mission to save it.
But can someone explain what this black-haired baby in her arms is all about?
World Consciousness: Saving Yokohama starts with raising a child. Sweetie, the chaos from a parallel world has affected this one, causing this child to lose his mother early. If you leave him alone, he'll grow up to become a suicide nut. I'm counting on you!
Underage Yue Mi: "...Okay."
Once one person shows up, more follow. People start dropping into her house, both children and adults, and they're all on the list of talented people.
Yue Mi: You sent them over yourself, so she won't hold back!
After recruiting quite a few talented people with her list and her own intuition, Yue Mi establishes... a kindergarten?
Knowledge changes fate; talented people raise talented people. Makes perfect sense.
Saving Yokohama gets underway, and the world consciousness that failed to recruit anyone joins in too. After a certain child suddenly appears, Tokyo turns into a haven for cursed spirits... and jujutsu sorcerers face the threat of unemployment.
Then the parent of the child who was snatched away shows up...
[Author's notes: Fyodor is genuinely a child here; he hasn't lived for ages! His ability doesn't involve changing bodies either!
The Moon Flame isn't just fire; it's a far more all-encompassing power.]
Love to watch!