If you liked
Ouran Koukou Host Club
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...then you might like
Ore ga Ojousama Gakkou ni "Shomin Sample" Toshite Gets♥Sareta Ken
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Light-hearted romantic comedies involving the rich and a "commoner" in a semi-harem based school setting. While some jokes are shared/similar, each has their own separate characters and story. What separate's these anime's the most (thus far: Shomin Sample still airing) is being that Shomin Sample also contains some ecchi scenes.
If you liked
Magi: The Labyrinth of Magic
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...then you might like
Akatsuki no Yona
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Set in fantasy themed environments, both plot's involve a small group of protagonists who progressively become stronger to fight against multiple empire's for freedom. Underlying similarities also involving human slave trading & references to character strength representing that of animals. Magic oriented themes are also an involved in each main plot line, however this is much less present in Akatsuki no Yona as compared to the Magi series which is magic centered. They both contain surprising plot or character developments and interesting action scenes, which overall makes each worth the watch if you enjoyed the other series.
If you liked
Dakara Boku wa, H ga Dekinai.
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...then you might like
Shinmai Maou no Testament
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Incredibly similar in how both are ecchi/fan service supernatural anime's with demon characters having begun to live in the human world due to certain [though different] circumstances. There's also a female tsundere MC with red hair in both. Differences mostly just being that Shinmai Maou no Testament is more harem based & the male MC's from either series having very different personalities.
If you liked
Yozakura Quartet: Hana no Uta
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...then you might like
Noragami
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A group of friends fight together, though sometimes against one another, to save their city or world from evil yokai/spirits with some comedy, implied romance & good/catchy OST's along the way.
If you liked
Trinity Blood
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...then you might like
Shikabane Hime: Aka
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Dark cult-oriented supernatural series set in different alternate era's with some heavy violence, drama, action & intense murder scene's. Both focus on solid plot development which are gradually explained throughout the series. Also having aired 3 years apart during mid-late 2000's, animation styles are quite similar.
If you liked
Denpa Onna to Seishun Otoko
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...then you might like
Sora no Method
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Though Denpa Onna takes on a more serious & slightly different approach even with it's similar aspects, also containing comedic and romantic scenes whereas Sora no Method is mainly Slice of Life based. They both contain many main similar themes and are both fun loving and often cheerful. Both contain; - Blue-haired female protagonist's who claim to be aliens - Struggle with making friendship's - A character with a forgotten past - Main character's who've recently moved to back to a town that they've lived in the past a long time ago - Mystery involving uncovering the past or truth & figuring out how to change for a better future