Snow White                                                                                                        

Daughter of Aphrodite, Goddess of love and beauty 

[Literally 'The Fairest of Them All' ]

Cinderella

Daughter of Aphrodite, Goddess of love and beauty

[Known for her beauty, and has an entire song on 'So this is love' ]

Sleeping Beauty

Daughter of Hypnos, God of Sleep

[Sleep god, she slept for 100 years, need I say more?]

Ariel

Daughter of Poseidon, God of the seas

[If we're going based on her universe she would be his granddaughter but just say this is an AU. She's a mermaid. Again, pretty self explanatory]

Belle

Daughter of Athena, Goddess of wisdom and warcraft 

[Loves to read and is very intelligent. Her father is an inventor and would totally fall for Athena]

Rapunzel

Daughter of Apollo, God of the sun, healing, and archery

[Her powers come from a flower made from a DROP OF SUN. Also she paints a lot, and Apollo is very much a god of the arts. Her power heals and Apollo is a god of healing. Her kingdom's symbol is the sun]

Jasmine

Daughter of Hermes, God of thieves, and travelers; Jack of All Trades

[She loves to travel and her main love interest is a thief]

Mulan 

Daughter of Mars, Roman God of war

[Her entire movie is about how she fights in a war. I think she would be a Roman daughter of Mars. Not saying this because both she and Frank are of Chinese descent, but I think Mars seems to line up more with the traditional Chinese ideals of war whereas neither Ares nor Athena really represent that properly]

Elsa

Daughter of Khione, Goddess of snow and Ice

[Ice. Snow. Elsa. Khione. Yeah, that's just a given.]

Anna

Daughter of Hestia, Goddess of home, family, and the hearth

[Now I know Hestia is a maiden goddess but just pretend okay. Anna has red hair like the fire and the hearth. Anna's journey is to save her home and sister]

Pocahontas 

Daughter of Pan, God of wild places

[Pocahontas talks to trees and animals and lives off the land. Her story is trying to stop the settlement of the wild place she lives in.]

Moana

Daughter of Poseidon, God of the seas

[She is 'chosen by the ocean'  and is obsessed with the water and ocean]

Merida

Hunter of Artemis, Goddess of the moon, archery, maidenhood and hunting

[Merida wants to stay single forever and loves the outside. She is amazing with a bow and loves archery]

Alice in Wonderland 

(Not technically a princess but whatever)

Daughter of Dionysus, God of wine and madness 

[ 'We're all mad here'  Alice's story is about her almost going mad in wonderland and experiencing all these crazy things, all having to do with madness]