| 1939 | Sugar / 29th and Dearborn | Ziggy Elman & His Orchestra | | 2 |
| 1939 | Bublitchki / And the Angels Sing | Ziggy Elman & His Orchestra | | 5 |
| 1939 | You’re Mine, You! / Zaggin’ With Zig | Ziggy Elman & His Orchestra | | 4 |
| 1939 | Let’s Fall in Love / I’ll Never Be the Same | Ziggy Elman & His Orchestra | | 1 |
| 1939 | You Took Advantage of Me / I’m Yours | Ziggy Elman & His Orchestra | | 1 |
| 1939 | Am I Blue? / I Have Everything to Live For | Ziggy Elman & His Orchestra | | 2 |
| 1940 | Tootin’ My Baby Back Home / What Used to Was, Used to Was (Now It Ain’t) | Ziggy Elman & His Orchestra | | 1 |
| 1940 | I’m Through With Love / Something to Remember You By | Ziggy Elman & His Orchestra | | 1 |
| 1940 | Forgive My Heart / Love Is the Sweetest Thing | Ziggy Elman & His Orchestra | | 1 |
| 1940 | Bye ’n Bye / Deep Night | Ziggy Elman & His Orchestra | | 3 |
| 1947 | And the Angels Sing / Three Little Words | Ziggy Elman and His Orchestra | | 3 |
| 1947 | Body and Soul / I've Found a New Baby | Ziggy Elman and His Orchestra | | 1 |
| 1947 | Ivy / I Believe | Ziggy Elman & His Orchestra | | 1 |
| 1947 | Please, Mama / Beside You | Ziggy Elman & His Orchestra | | 1 |
| 1948 | Bublitchki / Always | Ziggy Elman and his Orchestra | | 1 |
| 1948 | Zaggin' With Zig / My Reverie | Ziggy Elman & His Orchestra | | 1 |
| 1949 | Cheek to Cheek / That Wonderful Girl of Mine | Ziggy Elman & His Orchestra | | 2 |
| 1949 | Boppin With Zig / Always | Ziggy Elman and His Orchestra | | 1 |
| 1949 | Carolina in the Morning / Boppin' With Zig | Ziggy Elman & His Orchestra | | 2 |
| 1949 | How High the Moon / The Night Is Beautiful and You're So Young | Ziggy Elman & His Orchestra | | 1 |
| 1949 | Irresistible You / Me and My Shadow | Ziggy Elman & His Orchestra | | 1 |
| 1950 | Cheek to Cheek / Me and My Shadow | Ziggy Elman & His Orchestra | | 1 |
| 1950 | I'll Get By / Take Me in Your Arms | Ziggy Elman & His Orchestra | | 1 |
| 1950 | I Hadn't Anyone Till You | Ziggy Elman & His Orchestra | | 3 |
| 1950 | Just in Case We Have to Say Goodbye Again / Touch of Your Lips | Ziggy Elman & His Orchestra | | 1 |
| 1950 | Pagan Love Song / My Blue Heaven | Ziggy Elman & His Orchestra | | 2 |
| 1951 | I'd Climb the Highest Mountain / Zig's Mambo | Ziggy Elman & His Orchestra | | 2 |
| 1951 | Lonesome and Sorry / Zig's Polka | Ziggy Elman & His Orchestra | | 1 |
| 1951 | Moon Nocturne / Lover Come Back to Me | Ziggy Elman & His Orchestra | | 2 |
| 1951 | My Reverie / Body and Soul | Ziggy Elman and His Orchestra | | 1 |
| 1951 | The Birth of the Blues / Sunny Disposish | Ziggy Elman & His Orchestra | | 3 |
| 1952 | Lovely to Look At / Smoke Gets in Your Eyes | Ziggy Elman and His Orchestra | | 2 |
| 1952 | Come to the Casbah / Sweet and Lovely | Ziggy Elman and His Orchestra | | 3 |
| 1952 | With a Song in My Heart / All I Do Is Dream of You | Ziggy Elman & His Orchestra | | 1 |
| 1959 | Cheek to Cheek / You're Mine, You | Ziggy Elman & His Orchestra | | 1 |
| — | Always / Irresistible You | Ziggy Elman & His Orchestra | | 1 |
| — | Blue Prelude / I'll Get By | Ziggy Elman and His Orchestra | | 1 |
| — | Stardust / My Sweetie Went Away | Ziggy Elman & His Orchestra | | 1 |
| — | The Birth of the Blues / Come to the Casbah | Ziggy Elman and His Orchestra | | 1 |
| — | With a Song in My Heart / Stardust | Ziggy Elman e la sua orchestra | | 1 |
| 1950 | The Wedding Samba / Samba With Zig | Ziggy Elman and His Orchestra | | 1 |
