If you liked the Elfen Lied anime, the Anime-Planet community thinks you'd like:
In the year 1999, Tokyo has become a battleground as the Seven Dragons of Earth and the Seven Dragons of Heaven fight to determine the fate of the world. The one with the power to decide which way the battle will go is a youth named Kamui Shirou. Will he join the Dragons of Earth and preserve the planet by ending human life, or become a Dragon of Heaven and protect humanity from ruin? The fate of all mankind lies on Kamui's unwilling shoulders as both sides clash to gain dominance. The Dragons on both sides are individuals gifted with superpowers and fated to participate in this final battle, but what end will Kamui choose?
Both Elfen Lied and X have the same kind of feeling when it comes to death. Death/murder is portrayed in a very morbid and shocking way. Also there is a hint of innocence as "Lucy" and "Kamui" both have a lack of understanding about the situation/s that they are placed in.