Belle:
House: Gryffindor

Ariel:
House: Gryffindor

Cinderella:
House: Hufflepuff

Snow White:
House: Hufflepuff

Rapunzel: 
House:Ravenclaw

Pocahontas :
House: Gryffindor

Mulan:
House: Gryffindor

Tiana:
House: Hufflepuff

Jasmine:
House: Slytherin

Sleeping Beauty:
House: Gryffindor

Anna:
House: Hufflepuff

Elsa:
House: Slytherin

Merida:
House: Gryffindor

Moana:
Hosue: Gryffindor

The Things and Buzzfeed helped me with the Princesses.  I didn't take all their considerations.