Chobits

Anime
Hideki finds the discarded and malfunctioning Persocom Chi, a personal computer that looks like a girl. While trying to fix and care for Chi, Hideki discovers that she might be a Chobits, a robot of urban legend that has free will.

Manga
Hideki's just like every other guy in the 22nd century. He just wants a good job, a good car, and a sexy robot girlfriend to call his own. Until he lands a job, he'll never be able to afford his own 'Persocom' companion. Hideki's luck changes when he discovers Chi—an adorable but seemingly stupid Persocom—tied up in a pile of trash. His first robot companion turns out to be a lot more responsibility than he expected, and she gets him into quite a few embarrassing situations. It's 'boy-meets-girl' for the cyber age.

Note: Contains nudeity in the manga prosumaly in the anime also