If you liked
Durarara!!
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...then you might like
Monogatari Series: Second Season
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Although incongruent in regards to plot, Durarara! and the Monogatari Series present themselves in a similar manner. Seemingly-disconnected story arcs intertwine and come together impressively, the supernatural encroaches upon the real world in a rather mundane manner, and characters are emphasized as being quintessentially human (even if they technically aren't), with their own strengths and flaws.
If you liked
Mushishi
|
...then you might like
Ookami to Koushinryou
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Both Mushishi and Ookami to Koushinryou are styled after traditional legends and folktales, with fantasy elements delicately intertwined with reality. There is also a sort of inexpressible atmospheric similarity to the shows; one gets the sense that they don't go out of their way to impress the viewer, they simply present their own particular reality. To cite Mushishi,"everything is only as it is."
If you liked
Clannad: After Story
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...then you might like
Ano Hi Mita Hana no Namae wo Bokutachi wa Mada Shiranai.
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For me, at least, the only downside to Clannad: After Story was that is did indeed have to come to an end, leaving a void that simply could not be filled by lighter-hearted fair. Anohana was the show that broke the Post-Clannad void for me. I can sincerely recommend both shows for anyone with the desire to cry literal buckets of tears (unless your heart is a brick).
If you liked
Monster
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...then you might like
20th Century Boys
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These particular works by Naoki Urusawa carry an uncanny feeling of veracity; Monster and 20th Century Boys are complex, unified thrillers that are able to hold your interest (and occasionally give you chills down your spine) while still feeling rooted reality.
If you liked
Historie
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...then you might like
Kingdom
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Kingdom and Historie are works of historical fiction that center around the rise of two monumental empires of the ancient world, Qin Dynasty China and Macedonia. Hara Yasuhisa and Iwaaki Hitoshi respectively have both interpreted the historical record in a compelling manner never short on action, intrigue, and acuity while still adhering to the confines of authenticity.
If you liked
Hunter x Hunter
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...then you might like
Magi
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While many shonen manga stress the idea of the "group" of protagonists, Magi and Hunter x Hunter give each character faculty and individual development.