If you liked
Elfen Lied
|
...then you might like
Kara no Kyoukai Movie 3: Tsuukaku Zanryuu
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Both are very dark and brutal. Furthermore Lucy and Asagami Fujino are relatively similar characters in many ways. There are even similarities in the plot, regarding that revenge plays an important role in both. This recommendation applies fully in both directions, though Garden of Sinners should of course not be started here but at the beginning.
If you liked
Ima, Soko ni Iru Boku
|
...then you might like
Phantom: Requiem for the Phantom
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Both series have a pretty bleak feel to it for most of their runtime and you could probably argue either way which of the two is the darker one. If you like despair, these are for you.
If you liked
Elfen Lied
|
...then you might like
Claymore
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If you like Lucys backstory in Elfenlied or Claymores Teresa-Arc, you will almost certainly like the other. They tell different stories, but their emotional impact is similar and enough reason on its own to watch the entire series.
If you liked
Claymore
|
...then you might like
Fate/Zero
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“There never was a way out nor a means of salvation.” - Both series are very dark and and quite brutal at times. Likeable characters have a very real chance of dying or facing an even worse fate with evil reigning supreme. Furthermore neither of the two really employs fan-service or annoying comic-relief. (Waver+Rider-scenes in Fate/Zero and some of the scenes with Hellen in Claymore may be somewhat lighter than most of the rest, but neither feel out of character for any involved party and everyone always behaves in appropriate ways for the given situation.) Other than that both series have nice fights (to those of Fate/Zero are clearly animated better) and awesome characters.
If you liked
Elfen Lied
|
...then you might like
Fate/Zero
|
These shows are very different in many ways. I'd still say that the comparison is sound: * Both shows are grim and brutal * Some protagonists have extremely unsettling backgrounds * Neither show starts out overly happy, and both keep getting darker Differences: * Unlike Elfenlied with it's “read-the-manga”-ending, Fate/Zero has a great ending. (Note that great doesn't mean happy) * The characters in Fate/Zero are less likely to make idiotic decisions * Fate/Zero is a fantasy-anime that involves historic figures and magic, whereas Elfenlied is much more grounded in science and reality. * Elfenlied mostly deals with young people (college-students), whereas the characters in Fate are almost all significantly older I consider several of these things improvements over Elfenlied, which is why I recommend to give it a try.