I'm trying to find an anime I watched in 2005/2006. It was a short one (probably around 12-13 episodes) and I remember only one character - a dark haired guy (his name started with Y, but I'm not sure) whose biggest dream was to never been born. The point was that he didn't want to commit suicide, but simply never exist in the first place.
All I remember from the story line is that their was another guy who fought to make the dark haired guy's dream come true. In the end, he succeeds and the other one disappears/vanishes - as he has never been born.
Truth be told it was a really sad story, but I can't stop thinking about it and as it wasn't popular I can't find its title. Unfortunately, that's all I remember.
If anyone of you maybe recognise this anime? Thank you in advance!