Daenerys is loved because she isn't perfect and makes mistakes. She is a young girl struggling to survive in a land that is foreign to her and her family, and she has always tried her best to protect the lowborns, the slaves, the weak, and the helpless, polar opposites of her and her once powerful family. We have seen her grow from a young girl afraid of her brother to a queen who takes no stuff from anyone
You will really start to like Arya during S3-S4, she gets stuck with an unexpected companion and they steal the show together.
I don't like characters cause they are nice. I like them when they are interesting or smart. Like Cersei.
