I really got to watch FMA, I never could catch it on YTV D=.
Her name is Katsura Kotonoha from the game School Days...A...umm...a point and click hentai novel, however what gave it its fame were the 3 bad endings, where one of the 3 main characters die. In one she slits the throat of another Woman, Sekai, who had an affair with her boyfriend, Makoto, after which she breaks down psychotically, the one where Makoto dies....shes...just sorta there. Her death scene is actually incredibly hard to watch, after publically being rejected by Makoto for Sekai, she climbs to her apartment floor, about 20 stories high, and falls (willingly) off the edge, crying I believe, going head first into the pavement, her head exploding with blood flying everywhere as a horrified Sekai and Makoto witness her gruesome suicide. It later was made into the anime, the official ending there was Sekai after becoming pregnant in the affair is dumped by Makoto, who goes back to Katsura after she is completely mentally broken (and he only goes to her because his other 5 or so affairs found out and blacklisted him). Eventually, crushed, Sekai lures Makoto to dinner (Or else you must DIE!...hehee..) after she crossed her line, a text Makoto sent saying to just abort the baby. Sekai traps him in his room, sending him one text saying Good bye, and proceeds to stab him into a bloody mess, brutally killing her. Katsura, upon finding the body, rebreaks mentally, severs Makoto's head and keeps it with her, texts Sekai with his phone and lures her to the school, where she slits her neck, disposing of Sekai forever, and then cuts upon her womb to see the baby (which never developed yet), gaining a sick pleasure that Sekai was "wrong". She then drifts off at sea in her familys yacht, hugging the severed head of her one and only lover.
tl;dr ver. Some sexy emo game/anime. And no, I never played the game (for 2 obvious reasons), I just youtubed the bad endings from it.