Summary:
The story of Chobits is set a bit in the future (but not TOO far) where the invention of Persocons (computers that look like people) have altered the standard of living. One day Hideki, a poor college student, finds a "broken" female-looking Persocon in the trash. The only word she can say is "Chii," so Hideki bequeaths her that word as a name.
Hilarity and misadventures abound as Hideki comes to realize that his Persocon may be very special indeed - she may be the legendary "Chobits," a super computer capable of emotions. Chii, however, is content just to learn about humans and try to make Hideki happy, though she is very naive of human nature.
It's a very funny, very ecchi (naughty) tale that is quite popular with both genders and grows darker as the series progresses. The manga has been published in English by TokyoPop and the anime was recently released on DVD by Pioneer (more info below the wallpaper links). I enjoyed the manga, though felt it was a bit long and could have been compressed to about 5 or so books rather than 8. I have not yet seen the anime, but have heard it's a bit different from the manga with a different ending, though quite enjoyable.

Best For:
Ages 16 and up.

Contains:
Comedy, Drama, Romance, Sci-fi, Nudity, Swearing

Read it: You can buy the English-translated manga: Vol. #1, Vol. #2, Vol. #3, Vol. #4, Vol. #5, Vol. #6, Vol. #7
and last but not least, Vol. #8.

Watch it: The anime has been released on DVD by Pioneer. There are 2 versions of the first volume:
Vol. 1: Persocom - with series box and the no-frills, no-box version, Vol. 1: Persocom.
Also released are Vol. 2: The Empty City, Vol. 3: Darkness Descends, Vol. 4: Love Defined,
Vol. 5: Disappearance, Vol. 6: My Only Person and the last volume, Vol. 7: Chat Room which contains the 3 recap episodes not included in the other volumes.

Admire it: You can buy the Japanese-language import artbook Your Eyes Only.