If you liked
Death Note
|
...then you might like
Kiseijuu: Sei no Kakuritsu
|
In both shows the main character stumbles upon a supernatural power and has to hide it from everyone. He uses that power for what he thinks it's good for humanity. He also is accompanied by a cynical supernatural being that comes with that power and he is mostly the only one who can speak to it. These are dark, psychological shows and have a very similar atmosphere.
If you liked
Kemonozume
|
...then you might like
Shigurui
|
Lots of gore and disturbing images, unique animation styles, both feature the competition for the heritage of a dojo
If you liked
A Kite
|
...then you might like
Perfect Blue
|
The feeling I had watching Perfect Blue was so similar to A Kite that I was surprised nobody made this recommendation yet. Even tho A Kite is listed as a hentai because of its explicit sexual content, it is actually a psychological horror story with an atmosphere very similar to perfect blue. It is also about a girl forced to do something she doesn't really like, which then has to face dangerous situations involving people close to her. Both are stacked with murder. A kite has more gore and more sexual content, while Perfect Blue staggers with the psychological trauma of the lead character.