If you liked
Machikado Mazoku
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...then you might like
Acro Trip
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A light hearted twist on the magical girl formula, where an unwilling girl is goaded into playing the foil for a somewhat air-headed Magical Girl, but she really just wants to befriend the Magical Girl.
If you liked
Aho Girl
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...then you might like
Shikanoko Nokonoko Koshitantan
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Aho-Girl features a vacuous, vivacious girl whose clingy and often off the wall antics are constantly annoying her co-protagonist. Nokotan is a very similar character, with very similar antics to Yoshiko from Aho-girl, and Koshi plays a similar annoyed "straight man" roll as Akutsu from Aho-Girl.
If you liked
Shijou Saikyou no Deshi Kenichi
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...then you might like
Bucchigiri?!
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While Kenichi doesn't have the supernatural aspect of a genie type character granting the main character strength, Bucchigiri and Kenichi are very similar in other ways. Both protagonists start of as ordinary characters who are seen as weaklings by others. Both at some point get beat up by tougher characters and want to better themselves. Once they gained a measure of strength and showed it off by beating a tough opponent, they eventually become the target of youthful delinquents who crave battle. These delinquents either want to recruit or crush them. Both series have an array of oddball antagonists.
If you liked
Maoujou de Oyasumi
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...then you might like
Himesama "Goumon" no Jikan desu
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If you are looking for a spiritual successor to "Sleepy Princess in the Demon Castle" you can look no further than "'Tis Time for "Torture", Princess". In both series, you can watch a noble and cute princess deal with being imprisoned by her arch-nemesis the Demon Lord. But there's a catch, their treatment is much more innocent and endearing than you would expect.
If you liked
Somali to Mori no Kamisama
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...then you might like
Niehime to Kemono no Ou
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While the deuteragonists of Somali and the Forest Spirit share more of a parent and child relationship, compared to the romantic relationship of the characters in Sacrificial Princes, the shows share the fact that a young girl is being protected by a "monster" in a land full of beasts who despise humans, and would just as soon kill them on site. Both shows reveal a past where humans and beasts had a falling out and the beasts became the dominant species.
If you liked
Doukyonin wa Hiza, Tokidoki, Atama no Ue.
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...then you might like
Deaimon
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Themes that stood out to me in "My Roommate is a Cat" were regret over the relationships with family members lost, and how to make new relationships to overcome that regret. "Deaimon" has a similar theme, in that a character is often brooding over the loss of a relationship and is being nearly prodded and dragged into new relationships, not to forget the old relationship, but to help heal the wounds. "My Roommate is a Cat" happened to use a pet as the new relationship and portal to more new relationships, while "Deiamon" has a fully human cast.
If you liked
Shokugeki no Souma
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...then you might like
Birdie Wing: Golf Girls' Story
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Similar to how Shokugeki no Souma (Food Wars) is an over the top parody of cooking and chef competitions, Birdie Wing: Golf Girl's Story is an over the top parody of golfing competitions. Eve, the protagonist of Birdie Wing, is an obscure talent clawing her way into major golf competitions similar to how Souma in Food Wars came from an obscure background to shake the world of fine cooking. Birdie Wings has a cast with quirky characters that would seem at home in Food Wars. Eve's signature golf drive is even named "Chokugeki no Blue Bullet" (Direct Strike Blue Bullet).
If you liked
Maou-sama, Retry!
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...then you might like
Meikyuu Black Company
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Both Maou-sama, Retry! and Dungeon of Black Company are tongue in cheek isekais which poke fun at concepts of fantasy worlds and video games. Both shows feature pragmatic MCs who would rather build power in their new world through wealth than battles. Both shows also feature a broad cast of eccentric characters who befriend the MCs and help them in their goal to build corporate empires.