 If you liked
Kono Minikuku mo Utsukushii Sekai
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 ...then you might like
Okusama wa Mahou Shoujo
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Both are similar in respect to each other regarding the future of the world that they are in. These animes are both about the recreation of the existing world, and also the struggles that the main characters have to go through to decide the fate of the world. However "This Ugly Yet Beautiful World" has a more serious tone to the story, while "Okusama wa Mahou Shoujo" is a more light-hearted story. You might like one if you like the other.