
F4luv89:
5. Go Ahead He Ziqiu was abandoned by his birth mother and although his mother dated Li Dad, they did not get married. He unofficially adopted He Ziqiu, who treated him like his real son (and He Ziqiu treated him like his real dad) - there was a scene where someone mentioned that his household registration is still with his grandmother.
6. Love Between Fairy and Devil Xiao Lan Hua (FL) is orphaned as a young child when her clan is wiped out and she is raised by her master
I don't think it counts since children were either abandoned or didn't have parents
My request was about people who have distant relationship with parents and rely on their nanny/teacher/etc much

ColourMePurple:
8. Miraculous Brothers - we don't actually know where the parents are but the older brother depends on his teacher a lot.
9. Duty After School - the students are enlisted to fight the aliens and get close to their team leader as well as their class head.
10. Melancholia - The student is good at maths and his teacher encourages and challenges him further and he develops a good rapport with her.
Not sure if all these count.
I cannot accept Duty after school since they were isolated from everyone, understandably they would be close with only adults around