Chobits

In the future, personal computers have developed into "Persocoms", mobile computers that look like human beings. Hideki Motosuwa, a prep school student, desperately wants to buy a Persocom but cannot afford to. One day he finds a Persocom that has been thrown away and decides to keep it. When he turns on the Persocom, all she can say is "Chii" so he decides to name her that. After a while it starts to become apparent that Chii is more than an average Persocom. Having much better performance, it seems that Chii might be a "Chobit", a type of advanced Persocom rumored to have independent thought. (Source: Anime News Network)

Plastic Memories

This story takes place in a future not too far away when androids that look exactly like humans begin to spread across the world. The android production company SA Corp. produced Giftia, a new kind of android that has the most amount of emotion and human-like qualities out of any other model ever seen. However, due to problems in technology, the androids have a service life, and once they pass that, they... Well, it gets pretty bad. For this reason, SA Corp. creates a terminal service in order to retrieve Giftia that have gone past their service life. A new employee at the terminal service named Tsukasa Mizugaki forms a team with the Giftia Isla to retrieve the other androids, but... (Source: Anime News Network)