 If you liked
D.Gray-man
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 ...then you might like
Claymore
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Has to do with hunting and killing evil man-eating spirits and beings that are hiding in among people in various towns and cities
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Recommended by RazorToTheRosary
Both are quite similar in the sense of an organisation seeking to kill demons who have infiltrated into the human society, with its members the only ones to detect the demons among humans (for D.Gray-man it's only Allen though).
One difference is that while D.Gray-man's organisation (Black Cross) seem more accepted by the humans, Claymore's organisation (Claymore) is discriminated against, even if both of them have special powers.
both manga are about an organization that fights against monsters. d-gray man=>akuma & claymore=>yoma
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Recommended by Mikasa_Ackerman
both shonens are set back in history (claymore medieval times and D gray man end of 19th century) the characters in these shonens are specially made (or just trained) to hunt down monsters who hide in humans