"Now you listen to me, [insert princess] . You got the makings of greatness in you, but you got to take the helm and chart your own course. Stick to it, no matter the squalls! And when the time comes you get the chance to really test the cut of your sails, and show what you're made of... well, I hope I'm there, catching some of the light coming off you that day."

I mean, I could see this being said to a lot of princesses-- but my first thought was Tiana or Mulan. Said by Mushu to Mulan, said by Mama Odie to Tiana.

I can kind of hear Shang saying this - or maybe her father

Yeah, definitely Mulan or Tiana.

Hard to choose between Tiana and Mulan ....good question :)