[2:49] 1. Nat King Cole – I Found A Million Dollar Baby (In A Five And Ten Cent Store)
[2:36] 2. Ray Anthony & His Orchestra – Chattanooga Choo Choo
[2:53] 3. Bobby Darin – You’ll Never Know
[2:22] 4. Dakota Staton – September In The Rain
[2:39] 5. Helen Forrest – I Had The Craziest Dream
[3:07] 6. The Four Freshmen – Lulu’s Back In Town
[3:09] 7. Ethel Ennis – Serenade In Blue
[2:59] 8. Chet Baker – There Will Never Be Another You
[2:12] 9. Nancy Wilson – The More I See You
[3:10] 10. Nat King Cole Trio – I’ll String Along With You
[3:02] 11. Al Belletto – Jeepers Creepers
[2:56] 12. Ann Richards – Lullaby Of Broadway
[3:01] 13. Time-Life Orchestra – At Last
[2:09] 14. June Christy – I Know Why (And So Do You)
[1:32] 15. Count Basie – With Plenty Of Money And You
[3:35] 16. Dinah Shore – I Only Have Eyes For You
[2:26] 17. The Four Freshmen – On The Atchison, Topeka & The Santa Fe
[2:41] 18. Peggy Lee – You’re Getting To Be A Habit With Me
[3:00] 19. Nat King Cole – An Affair To Remember
Vintage45's Blog 
All great songs. I have records of most of the songs in your list, including some by the same artist you list.