Both excellent choices. "All I Ask of You" is one of my favorite songs. I catch myself humming it a lot.
Oh, yes! I got stumped when wanting to choose one from My Fair Lady -
* .. then oh, the towering feeling ... just to know somehow you are near ...* (On the Street Where You Live)
or * ... I could have spread my wings and done a 1000 things ... I'd never done before ... ... when all at once, my heart stood still ... * (I Could Have Danced All Night)
or * sittin' absobloominlutely still ... someone's head resting on my knee ... warm and tender as he could be ... who takes good care of me ... oh, wouldn't it be loverly? ...* (Wouldn't It Be Loverly?)
I like them all!