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What to look for: action, strong female lead, unique fighting style.
Arachnid tells the story of Fujii Alice, an orphan girl who is isolated and often bullied at school because of her weirdness. But it turned out that Alice's weirdness is actually her biggest assets in combat. After an encounter with an assassin called "Spider" from a certain organization, she now struggles to face both assassins from the organization and the harsh life itself as a teenage living on her own.
Currently, there are 7 chapters out. The setup seemes to be genric, but what make the difference is the female lead, as she displayed a whole spectrum of emotions and characters as the story proceeds. The fighting style is pretty unique, and the fan service is delicious. At the moment it is still on a enemy of the month run, But I guess it is necessary for any fighting manga. I expect the story to pick up its momentum and develop to something larger in a few more chapters.
By the way, no trashing romance so far is a plus in my book.