Wow, what a task.

I'll See You in My Dreams
For All We Know (not the Carpenters one, Harold Arlen I think)
Love Walked In
Lush Life
Since I Met You Baby
The Thrill is Gone
Begin the Beguine
Night and Day
I Could Write a Book
Here I'll Stay
A Pair of Brown Eyes
Fairy Tale of New York
Beeswing
Souvenirs
If I Needed You
Pancho and Lefty
Semi Crazy
He'll Have to Go
Big Iron (I agree, Bert)
Someday Soon
Respect Yourself
Everybody's Everything
As Time Goes By
'52 Vincent Black Lightning
Summer Wages
A Change is Gonna Come
People Get Ready
It's Alright
Feein' Alright?
Love Minus Zero No Limit
Like A Rolling Stone
Keep On Pushing
You Must Believe
Are You Lonely for Me Baby
Teardrops Will Fall Tonight
Our Love is Here to Stay

For me that's the tip of the tip of the ice berg.