| Year | Single | Chart positions | Certifications |
|---|
| US Pop[4][5] | US
R&B[6] | UK[7] |
|---|
| 1942 | "That Ain't Right" | — | 1 | — |
| 1943 | "All for You" | 18 | 1 | — |
| 1944 | "Straighten Up and Fly Right" /
"I Can't See for Lookin'" | 9
28 | 1
2 | — |
"Gee, Baby, Ain't I Good to You?" /
"I Realize Now" | 15
— | 1
9 | — |
| "I'm Lost" | — | 4 | — |
| "It's Only a Paper Moon" | — | 5 | — |
| 1945 | "If You Can't Smile and Say Yes" | — | 3 | — |
| "I'm a Shy Guy" | — | 2 | — |
| 1946 | "Come to Baby, Do!" /
"The Frim Fram Sauce" | —
19 | 3
— | — |
| "(Get Your Kicks on) Route 66" | 11 | 3 | — |
| "You Call It Madness (But I Call it Love)" | 10 | — | — |
"(I Love You) For Sentimental Reasons" /
"The Best Man" | 1
14 | 3
— | — |
| "The Christmas Song (Merry Christmas to You)" | 3 | 3 | — |
| 1947 | "You Don't Learn That in School" /
"Meet Me at No Special Place (and I'll Be There at No Particular Time)" | 22
— |