I have quite a few:
Soliloquy from Carousel
Ballad of the Sad Young Men
Christmas Shoes
Time in a Bottle
House at Pooh Corner and Not While I'm Around (because I use to sing these to my daughter all the time when she was little--I still sing Not While I'm Around sometimes to her chagrin

)
No one's gonna harm you, not while I'm around
No one's gonna harm you, no sir
Not while I'm around
Demons are prowling everywhere, nowadays
I'll send them howling
I don't care
I've got ways.
No one's gonna hurt you
No one's gonna dare
Others may desert you
Not to worry
Whistle I'll be there
Demons may charm you with a smile
For a while
But in time
Nothing can harm you
Not while I'm around.
Only Hope (From a Walk to Remember)
Only Hope
There's a Song that's inside of my soul
It's the one that I've tried to write over, and over again
I'm awake in the infinite cold
But You sing to me over, and over, and over again
So I lay my head back down
And I lift my hands and pray
To be only Yours I pray
To be only Yours
I know now, You're my only Hope
Sing to me the song of the stars
Of Your galaxy dancing and laughing, and laughing again
When it feels like my dreams are so far
Sing to me of the plans that You have for me over again
So I lay my head back down
And I lift my hands and pray
To be only Yours I pray
To be only Yours
I know now, You're my only Hope
I give You my destiny
I'm givin' You all of me
I want Your symphony
Singing in all that I am
At the top of my lungs
I'm givin' it back
So I lay my head back down
And I lift my hands and pray
To be only Yours I pray
To be only Yours I pray
To be only Yours
I know now, You're my only Hope