If you liked
Blood+
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...then you might like
Kiseijuu: Sei no Kakuritsu
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Both animes treat about a normal teenager who one day is involved in a fight against a monster (a chiropteran in Blood+ and a parasite in Parasyte) and is helped by a character who later turn into its inseparable partner (Haji in Blood+ and Migi in Parasyte). After this moment, both protagonists develops supernatural abilities and decides to fight against the monsters to protect their loved ones after losing one member of their family. Meanwhile, the monsters conspires and mix up with the human society, planning to domain the world. The army is also involved in the story.
However, Blood+ has a more slow pacing with
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