Post a robot that can love.

I think Freya from Chobits can fall into that category. She fell in love with her creator.

Eve from Black Cat. She was created using nano-technology, giving her the ability to perform any transformation at will, passed on to a phony developer, rescued, and while in the presence of her rescuers, she learns to be human and to care for others, even influencing the values of friendship on others who need it.

Korone from Ichiban Ushiro No Daimaou