I've got some recommendations!
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Zankyou no Terror
Or 'Terror in Resonance'. This is a psychological anime that came out not too long ago in 2014. In this anime, the main characters are terrorist bombers in Japan. It's quite dark and gritty, and has some heart wrenching moments. Also, the art and the ost are both beautiful! So for that I really recommend it.
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Death Note
Another psychological anime. This is is one of those anime series that everyone has to watch. It's a pretty intellectual anime with complex characters and an interesting plot. It just goes to show that in a story, the protagonist isn't always the 'good guy' and the antagonist isn't always the 'bad guy'!
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Noragami
This is one of my favourite anime of all time! It's an action anime and so far, it only has one season, but it's getting a second season later on :3 There's hints of dark moments in this anime, but there's also really funny parts too. It's a bit like the show, 'soul eater' in the sense that some of the characters can 'magically' turn into weapons.
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Seraph of the End
It's an action/drama/supernatural anime that's airing right now! There's only a few episodes at the moment, but I can tell you that it's really good because of the manga ^^ It's got vampires, demons and a whole lot of action and epic fights! What more could you want? x3
If any of those don't suit your taste then here's some other good ones:
-Blue Exorcist
-Attack on Titan
-Zero no Tsukaima
-Tokyo Ghoul
-Fairy Tail
-Assassination Classroom
-Sword art Online
-Black Butler