If you liked
Ga-Rei
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...then you might like
Shinrei Gakuen Koihenge
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Shinrei Gakuen Koihenge gives off a Ga-Rei or Tokyo ESP vibe, likely due to similar art styles and spiritual themes of a female protag, a guy sidekick, and evil ghosts. SGK focuses more on romance (an assumption based on the first chapter), whereas Ga-Rei embodies action and adventure. Shoujo vs. Shounen!
If you liked
Claymore
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...then you might like
Shingeki no Kyojin
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Although Claymore is not set during a time period where humans are driven to the brink of extinction by unknown monsters, this manga nevertheless shares some characteristics with Shingeki no Kyojin, a currently rising and largely promising manga: barren rock background, focus on the quality of story rather than art, and the fact that their respective monsters can not be killed using normal human means. While reading Shingeki no Kyojin, I was reminded of Claymore some times, perhaps owing to the potentially gory nature of the monsters' killings.
If you liked
Majin Tantei Nougami Neuro
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...then you might like
Hokenshitsu no Shinigami
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For some reason, Hokenshitsu no Shinigami reminds me of Neuro. I think it's because those male protagonists have strange, demonic powers that are used differently to treat several criminals or people making trouble. However, unlike Neuro's solely main assistant Yako, the eccentric Hades has multiple young children to assist him in uncovering the disease demons. Admittedly, I haven't read up to the latest chapter of Hokenshitsu no Shinigami (scanlation groups are catching up), but I enjoy both series hugely.
If you liked
Alive: Saishuu Shinkateki Shounen
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...then you might like
Majin Tantei Nougami Neuro
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hello, apocalypse. the concept of human evolution plays a significant role in both manga, sprinkled with hints of supernatural beings at work. however, neuro tends to view the conflict from the mystery angle whereas alive does so from the adventure angle (ridiculously long bicycle rides will do that for you). they all have good action.
If you liked
Alive: Saishuu Shinkateki Shounen
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...then you might like
unCassandra
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the world is ending! but not really -- the main characters with exceptional powers try to stop the world from being destroyed by the supernatural beings and those destructive humans. difference? ann cassandra has a rather small character cast and lacks as much focus on action (primarily because it is a small manga too) in comparison to alive.
If you liked
Psyren
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...then you might like
unCassandra
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Ann Cassandra is a very short manga that utilizes two main characters' abilities to prevent the future, just like Psyren. However, Psyren eventually becomes more mainstream with battle scenes and powers and thus is longer, whereas Ann Cassandra is less so, completed, and simply documents the adventures in "breaking predictions." I would recommend Psyren or Ann Cassandra to someone who is interested in the characters' attempts to change the future.
If you liked
Hatsukoi Limited.
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...then you might like
Haruyuki Bus
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Despite different subjects, these manga revolve around multiple characters and their love interests that somehow relate to each other. To clarify, each chapter is about a girl and a boy and how they come to understand each other. Hatsukoi Limited contains ecchi, however, and uses younger people whereas Haruyuki Bus explores high school and university students' lives.
If you liked
Michiko to Hatchin
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...then you might like
Durarara!!
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Although they are not similar in a lot of ways, what they do have in common is the fantastic animation and character interactions. Michiko to Hatchin is created by the same creators of Samarai Champloo, so each and every episode of Michiko to Hatchin and Durarara!! is unique in the genre they take on. For example, one episode focuses on action, whereas another introduces a new character and relationship with others, and the other an outlook into a main character's past and personality. I hope you find Durarara!! and Michiko to Hatchin as enjoyable as either.
If you liked
InuYasha
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...then you might like
Nurarihyon no Mago
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Demons exist in these manga universes, where the heroes of the stories are actually both human and demon. They go on adventures, for different purposes, with their variety of companions. Nurarihyon no Mago focuses on a young boy as he struggles to keep up with his family heritage as a possible successor for the supreme commander of youkai. Also, Nurarihyon no Mago is mainly set in modern Japan, altering between this modern setting and the spiritual youkai universe.
If you liked
Death Note
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...then you might like
Hello Baby
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Drawn by the same mangaka, Death Note and Hello Baby involve criminals and death, providing an entertaining read. Hello Baby, an one-shot, brings more focus on the main characters themselves -- especially Kin's relationships with his girlfriend and "younger brother" -- while Death Note is more action-oriented in with a supernatural element (shinigami). There is still a good amount of action and characterization in both though, set in today's Japan.
If you liked
Ga-Rei
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...then you might like
Nurarihyon no Mago
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They both deal with spirituality, though Nurarihyon no Mago is more demon-oriented whereas Ga-rei is ghost-oriented. Ga-rei reminds me of demons, especially the ghost Yomi. There are shikigami users too in both series.
If you liked
Naruto
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...then you might like
Nabari no Ou
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Naruto inspired the manga Nabari no Ou. You might see some key similarities between them although later on, Nabari no Ou departs from the Naruto scene since it is set in the modern world. Ninjas are involved; even the main characters are the vessels of very powerful entities. There's a lot more action in Naruto though.