[0:00] Maybe - The Ink Spots (1940)
[6:29] Civilization (Bongo Bongo Bongo) - Andrews Sisters & Danny Kaye (1948)
[10:10] Into Each Life Some Rain Must Fall - Ella Fitzgerald and The Inkspots (1944)
[13:36] Rocket 69 - Todd Rhodes Orchestra with Connie Allen (1952)
[20:03] Doin' the Uptown Lowdown - Isham Jones Orchestra (1925)
[22:53] A Wonderful Guy - Tex Beneke with Claire Chatwin (1946)
[24:52] Ac-Cent-Tchu-Ate The Positive - Bing Crosby & The Andrews Sisters (1937)
[26:58] Civilization (Bongo Bongo Bongo) - Andrews Sisters & Danny Kaye (1948)
[30:09] Instrumental
[32:15] He's A Demon, He's A Devil, He's A Doll - Betty Hutton (1950)
[35:41] It's A Man - Betty Hutton (1951)
[46:52] Pistol Packin' Mama - Bing Crosby and The Andrews Sisters (1943)
[50:08] Ooh Looka There Ain't She Pretty - Bob Crosby & his Orchestra (1936)
[53:20] Dear Hearts And Gentle People - Bob Crosby and the Bobcats (1950)
[1:01:26] Ac-Cent-Tchu-Ate The Positive - Bing Crosby & The Andrews Sisters (1937)
[1:04:31] Rocket 69 - Todd Rhodes Orchestra with Connie Allen (1952)
[1:07:24] Crawl Out Through the Fallout - Sheldon Allman (1960)
[1:10:09] The Wanderer - Dion (1961)
[1:13:15] Undecided - Ella Fitzgerald (1939)
[1:16:52] Into Each Life Some Rain Must Fall - Ella Fitzgerald and The Inkspots (1944)
[1:20:07] Uranium Fever - Elton Britt (1955)
[1:22:38] Atom Bomb Baby - Five Stars (1957)
[1:25:02] One More Tomorrow - Frankie Carle with Marjorie Hughes (1946)
[1:28:40] Hangover Heart - Hank Thompson (1959)
[1:33:41] I'm Tickled Pink - Jack Shaindlin (1954)
[1:35:34] Maybe - The Ink Spots (1940)
[1:38:04] Let's Go Sunning - Jack Shaindlin (1954)
[1:39:54] Jingle Jangle Jingle - Kay Kyser and His Orchestra with Harry Babbitt-Julie Conway (1942)
[1:43:30] A Kiss To Build A Dream On - Louis Armstrong (1951)
[1:48:15] Keep A-Knockin’ - Louie Jordan and His Tympany Five (1939)
[1:50:54] Mad About The Boy - Helen Forrest (1949)
[1:53:16] Maybe - The Ink Spots (1940)
[1:56:14] Mighty Mighty Man - Roy Brown (1948)
[2:01:41] Love Me As Though There Were No Tomorrow - Nat King Cole (1956)
[2:04:19] The End of the World - Patti Page (1963)
[2:07:21] Johnny Guitar - Peggy Lee (1954)
[2:10:32] Why Don't You Do Right (Get Me Some Money Too) - Peggy Lee (1948)
[2:13:02] Personality - Johnny Mercer & The Pied Pipers (1945)
[2:15:59] Right Behind You Baby - Ray Smith (1958)
[2:18:33] Rhythm for You - Eddy Christiani and Frans Poptie (1952)
[2:21:40] Good Rockin' Man - Roy Brown And His Mighty-Mighty Men (1951)
[2:24:43] Rock Pretty Baby - Don Lang (1955)
[2:30:45] Swing Doors - Allan Gray (1950)
[2:33:54] The Hustle Is On - T-Bone Walker (1950)
[2:36:20] Atom Bomb Baby - Five Stars (1957)
[2:38:51] It's All Over But The Crying - The Ink Spots (1947)
[2:41:52] Maybe - The Ink Spots (1940)
[2:44:54] Something's Gotta Give - The McGuire Sisters (1956)
[2:48:03] Uranium Rock - Warren Smith (1960)
[2:50:22] Way Back Home - Bob Crosby (1950)
[2:59:03] I Don't Want to Set the World on Fire - The Ink Spots (1941)
[3:06:12] Instrumental
[3:09:48] A Wonderful Guy - Tex Beneke (1946)
[3:12:05] I'm Tickled Pink - Jack Shaindlin (1954)
[3:14:17] Fox Boogie - Gerhard Trede (1998?)
[3:24:36] Way Back Home - Bob Crosby (1950)
[3:27:53] Maybe - The Ink Spots (1940)
Repeats from the top
Special thanks to Hans Klopek for this list and shoutout to J for assistance!
Underlined songs are linked to either a YouTube video of the song or to a recording of the song from the Internet Archive. Question marks mean the song is unknown.