InuCloud, where is "Will Life ever stop playing games with my courage? My coldness upsets many, but it is my only security. How fragile is my heart if I am to face the world alone?" -Rei Ayanami from? I do not recall that line and I have watched the Eva series probably 6 times. From a movie maybe (sounds like it would be from End of Evangelion)?
Anyway, as far as horror goes ... unfortunately I can't really think of any top notch horror anime. If Paranoia Agent counts as horror, I would pick that, or else Perfect Blue. Im not sure why, but both comedy and horror just don't translate real well for me through anime, although I like both genres in movies and tv shows.