Chobits, Sakura-sou no Pet na Kanojo Recommendations
Romance between a boy and a girl who lacks any sense of independance. Sakurasou is a bit more ecchi harem, but not much, and chobits is more chick flick and it felt somewhat cliche by comparison.
Sakurasou is as close to Chobits as you can get, in story, in tone and overall feel. Both shows have the same premise, a guy attending school suddenly finds himself in charge of a girl, and needs to teach her how to take care of herself and relate to others and the world around her. While in Chobits, Chi is a super special android who lost her programming, in the case of Sakurasou, Mashiro is a real human girl, but she is a savant. That means she has incredible artistic talent, but she lacks any kind of social skills and common sense, to the point
The protagonist is forced to care for a girl (or in the case of "Chobits" A robot) that can not take care of yourself.
Both are about a plain boy who's new in town who stumbles upon a strange girl who can't take of herself. In both, the girl becomes more emotive and self-sufficient, among other things I won't spoil.
The protagonist in Chobits is a bit more perverse than the one in Sakurasou, and Chobits encompasses more genres, however.