If you liked
Manaria Friends
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...then you might like
Demi-chan wa Kataritai
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Both take place in high schools and feature mythological/supernatural characters alongside humans. "Interviews with Monster Girls" features vampires, dullahans, snowwomen (or Yuki-onna) and succubui, while "Manaria Friends" features dragons. They differ in that "Interview with Monster Girls" takes place in modern Japan but it just so happens to have these supernatural beings, while "Manaria Friends" is in a different world all together and human characters have the potential to learn magic.
If you liked
Shijou Saikyou no Deshi Kenichi
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...then you might like
Boku no Hero Academia
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Both involve similar underdog type characters, Izuku Midoriya (My Hero Academia) and Kenichi Shirahama (Kenichi: History's Strongest Disciple). Both are weak at the beginning but become stronger through out the course of their series. They also have various mentors that teach them, for Izuku it involves training to become a licensed hero and for Kenichi his training is to help him master multiple martial arts. Each series also strikes the right balance of drama and humor, able to have light-hearted funny moments while also having some decent fighting action as well as emotional drama.
If you liked
Fune wo Amu
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...then you might like
Gaikotsu Shotenin Honda-san
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Both anime show aspects of book publishing in Japan. "Fune wo Amu" shows the editing process while "Gaikotsu Shotenin Honda-san" shows the retail side. While each are very different in tone and style, watching both can give some insight into Japan's publishing world.
If you liked
Ristorante Paradiso
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...then you might like
Rokuhou-dou Yotsuiro Biyori
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Both involve eateries and shows the interaction that the staff has with customers and with each other. Both are portrayed realistically, in the fact that they do not have any fantasy or sci-fi elements, although they do have slice of life drama. The one major difference involves culture with "Rokuhoudou Yotsuiro Biyori" taking place in a Japanese tea shop/cafe and "Ristorante Paradiso" taking place in a restaurant in the streets of Rome, Italy.
If you liked
Mikan Enikki
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...then you might like
Doukyonin wa Hiza, Tokidoki, Atama no Ue.
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They are both slice of life series about cats being adopted into new families. One difference is that in "Mikkan Enikki," the male cat Mikkan is adopted by the Kusanagi family (Mr. & Mrs. Kusanagi plus the son Tom) while in "My Roommate is a Cat" the female cat Haru is adopted by a young single writer, Subaru Mikazuki. Second difference is that Mikan can actually speak Japanese, walk on two legs, read, write and has a particular appreciation for alcohol and he serves as a vehicle by which we can understand what the other pets are saying; while Haru can not speak to Subaru in Japanese nor does she display any human characteristics, we do hear her side of events along with the other pets she comes across the course of the series.