My girlfriend was *totally* put off by the anime version of
Chobits (if there's a manga equivalent, neither of us has read it). She absolutely hated it. Nothing to do with technical aspects or the quality of the animation. It was the characters -- how needy, desperate, and controlling the male protagonist is; the very sick possibilities of the androids (I forget the exact term; PersComm or something?); just how generally repressed and tense everybody is. She couldn't stomach finishing anything more than the first episode. It was like a physical, visceral reaction. Her reaction discouraged me from watching the series altogether.
Just to give you a gauge of her taste in manga, she likes
Cromartie High School,
Eagle, and
NANA. She really liked the anime version of
Beck: Mongolian Chop Squad, despite some reservations about the characterization, and glaring plot holes.
And for a broader context of what she's into, generally:
http://www.comicspace.com/dumplingpress
(Incidentally, I've been attempting to get her to post here for over a year now. But her web-surfing habits just don't accomodate the kind of time-sucking geekery that mine do.)