If you liked
Ao no Exorcist
|
...then you might like
Devil Survivor 2 The Animation
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Demons/creatures infesting the world obviously! Both anime also have an action streak and most notably summons that correspond to their user personality/ability/profile. The difference is that DS2 has a technological streak while Ao no Exorcist is more of a laid-back comedy.
If you liked
Darker than Black: Kuro no Keiyakusha
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...then you might like
Zettai Karen Children: The Unlimited - Hyoubu Kyousuke
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A similar concept of special individuals endowed with supernatural power acting out against discriminating society. Both are action filled and both have an investigation element. And of course a mysterious young medium girl.
If you liked
Koukaku Kidoutai: Stand Alone Complex
|
...then you might like
Psycho-Pass
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Both animes feature an advanced technological society that despite the cutting edge technology suffers from both existential and criminal issues. Both animes feature cybercrime and a lot of action. Both animes focus on police and investigations.
If you liked
Mawaru Penguindrum
|
...then you might like
Zetsuen no Tempest
|
In both animes a younger sister plays the key role in motivating two main heroes. Her life and death is the driving force behind the paths that young men take and behind the occurring events.
If you liked
Death Note
|
...then you might like
Psycho-Pass
|
Another anime that features the opposition of two geniuses. But these time both, unlike Light and L, the main hero and the main villain BOTH have criminal psychology which essentially makes them similar rather than different.
If you liked
Death Note
|
...then you might like
Code Geass: Hangyaku no Lelouch
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Light is very much like Lelouch, both are geniuses with darker streak, both enjoy viewing people as chess figures in their grand game and both pay a price for it.