 If you liked
Oujisama to Haiiro no Hibi
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 ...then you might like
Itsuwari no Freja
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The Prince in His Dark Days and Prince Freya are two shoujo series where the female protagonist meets a male character who looks exactly like them. He is also in a higher position of power than her, and when he is out of the picture, our main character impersonates him so that chaos will not ensue. Despite one of them set in our present and the other a medieval fantasy, both series have similar appeal in their art style and some character interactions.