 If you liked
Watashi no Shiawase na Kekkon
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 ...then you might like
Migawari Otome no Koufuku na Yomeiri: Meiko to Musubi no Akashi
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Both are period-pieces centred on romantic development between the arranged marriage between a kind but powerful young master and an unfavoured sister of the original bride, who experiences luxurious care for the first time in her life. Both worlds also have some element of powers that run through specific bloodlines - in Migawari's case, the female lead having visions of the future, while My Happy Marriage places these supernatural abilities more in the background as a catalyst for drama.