Karakuri Odette by Suzuki Julietta, is indeed about a robot girl, Odette. (That's Odette looking decidedly Utena-esque on the left of the cover.) Her guardian and inventor, Professor Yoshizawa, created her in the image of a high school girl and Odette is taking her role very seriously. In the beginning of the series, when she realizes that there are differences between her and the girls she saw going to school, she tells the Professor that she would also like to go to school. So, she does. And little by little, she closes the gap between her and the human girls around her.