Any good anime that similar to Elfen Lied?

Action anime?
Blood+ (Can you tell from the title? It's about an amnesiac girl who "awakens" and has to protect the people close to her by killing Chiropterans)

Code Geass (Basically, there's imperialist Britannia trying to "take over the world," one boy is disgusted by the idea. He later acquires an eye that allows him to make people obey his every command, the Geass.)

Darker Than Black (I've only started watching this one but from what I understand assassins with supernatural powers.)

You might also want to try out Tenjo Tenge, Fate/Stay Night, Devil May Cry, Noir, Yu Yu Hakusho, Rurouni Kenshin... well, the list goes on.

Anyway, I hope that my suggestions will help you.

How about these:

- Higurashi no Naku Koro ni and its sequel Higurashi no Naku Koroni Kai
- Jigoku Shoujo and its sequel Jigoku Shoujo Futakomori
- Ghost Hound

If you love watching blood everywhere then I suggest you Hellsing.
It's about a vampire named Alucard who fights against other vampires for an holy organisation named Hellsing. But he's not really a good guy, he's such a cruel (and awesome) scoundrel:D.

I've seen Elfen Lied before on Youtube, but I never had a chance to finish watching it though.
However, if you want anime that has a lot of action, blood, guts, gore and death, then have a salty and bitter taste of Berserk. I've never read the manga, and a tiny piece of the anime, but I LOVE Susumu Hirasawa's songs, especially his main hit "Forces". It sounds like a military song, and that's why I love listening to it a lot. There's a lot of music videos about Berserk, and did I say blood, guts, gore and death? I meant to say a LOT of it! It's not for the faint of heart though. But then again, since you're looking for something similar to Elfen Lied, you're not one of them.

Berserk is a good choice, especially when the main character, Guts, wields a big, gigantic sword!

i think Gantz is good, MOnster is good though its more of psychological issues. Baccano is good too it has some gore.
But if you like a unique one try Mononoke its a seris of Japanese ghost stories.

watch School Days TV

finish the story. i'm sure you'll like it..