Chobits ~Chii Dake no Hito~

Story centers on a 17 year old guy by the name of Hideki Motosuwa, he resides in an alternate universe of sorts thats filled with things known as Persocom's, a Persocom simply put is a Personal Computer. Unfortunately though, Hideki could never afford a Persocom of his own, and the story begins with him finding an unattended, tied up persocom in a pile of trash, he takes the Persocom home and later discovers as the story progresses that there is a possiblilty that his Persocom is something known as a Chobit. The Story then develops entertainingly around the idea of Chi (Thats what Hideki named her) being a Chobit.

[From Shiroiame review]

A visual novel based on Clamp's popular seinen manga series and its anime adaptation.