If you liked
Lovely★Complex
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...then you might like
Tonari no Kaibutsu-kun
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Both series are romantic comedies and they keep getting closer by knowing each other better and accepting slowly their feelings for each other. Both series are focused in th male and female protagonist love, but also have really good comedy involved and good plot overall.
If you liked
Claymore
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...then you might like
Shingeki no Kyojin
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In both series humanity are cornered by another species and the characters are fighting to survive, and to discover better ways to fight against the threat that this creatures represent for humanity. Although the history and character background in Shingeki is bigger (mostly because they explain the circumstances of many characters), Claymore also has good story background, and characters that have been through many hardships and take their decisions having their past experience in mind.
If you liked
Darker than Black: Kuro no Keiyakusha
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...then you might like
Psycho-Pass
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Both series happend in the future, yet in Psycho Pass the society is more advanced than in DTB. Both series have male protagonists that are fighting themselves and against the society because their ideals are in conflict. In this series the evaluation of the good and bad concepts is recurrent, and this situation makes the characters struggle between what they want and what is consider the best to do.
If you liked
Ore no Nounai Sentakushi ga, Gakuen Love Comedy wo Zenryoku de Jama Shiteiru
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...then you might like
D-Frag!
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I find this two series similar because they both are focused in comedy, although in Noucome there is also a strong part in the romance between the male protagonist and the girls but both series stand out for their funny parts and bizarre outcomes that make them refreshing and enjoyable to watch. They both have unique characters and make good use of ther qualities or misfortune to deliver good stories and really good laughs.
If you liked
Sakura-sou no Pet na Kanojo
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...then you might like
Chuunibyou demo Koi ga Shitai!
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Both series have unique characters, and the main male character seems to dislike his actual situacion and wants to change it. But as this series go on, and th characters relations develop, their objetives change or get troubled by new points of view. The comedy is also a strong point in both series because there are a lot of abnormal and funny situacions because all characters are really abnormal.
If you liked
Kami nomi zo Shiru Sekai
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...then you might like
Monogatari Series: Second Season
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Both series have Multiple Heroines, but Kami nomi is a little more open in the romance aspect. Comedy is a strong point in both series, and there are sci fi elements and lots of stories in kami nomi.The plot gets more and more rich and interesting as the seasons advance, in my opinion is a great option if you are looking for something similar to Monogatari.