Here's the complete playist.

NELSON RIDDLE ORCHESTRA . . . . . Route 66 Theme (opening theme) . . . . . Route 66 and Other Great TV Themes/More Hit TV Themes
JACK HALEY . . . . . If I Only Had A Heart . . . . . Wizard of Oz
MISSION CONTROL . . . . . We Have a Liftoff . . . . . NASA
AIR . . . . . Cosmic Trip . . . . . Le Voyage Dans La Lune
THE KING OF FRANCE . . . . . Moon . . . . . King of France
THE DUKES OF STRATOSPHEAR . . . . . Bike Ride to the Moon . . . . . Chips from the Chocolate Fireball
FRANK SINATRA . . . . . Fly Me to the Moon . . . . . Nothing But The Best
JONATHAN KING . . . . . Everyone’s Gone to the Moon . . . . . The British Invasion: The History of British Rock, Vol. 7
THE SATURN 5 . . . . . Voyage Around the Moon . . . . . That Thing You Do!: Original Motion Picture Soundtrack
THE RAVEONETTES . . . . . Summer Moon . . . . . Raven In The Grave
UNLOVED . . . . . Silvery Moon . . . . . Heartbreak
NICK DRAKE . . . . . Pink Moon . . . . . Pink Moon [Remastered]
BOB DYLAN . . . . . Blue Moon . . . . . Self-Portrait
BECK . . . . . Blue Moon . . . . . Morning Phase
STEVE GUNN . . . . . New Moon . . . . . The Unseen In Between
THE SHACKS . . . . . Left It With the Moon . . . . . The Shacks

NEIL ARMSTRONG AND BUZZ ALDRIN . . . . . The Eagle Has Landed . . . . . NASA
THE CLIENTELE . . . . . Lunar Days . . . . . Music For The Age Of Miracles
THE BEATLES . . . . . Mr. Moonlight . . . . . Beatles for Sale
HERMAN’S HERMITS . . . . . Moonshine Man . . . . . Very Best of Herman's Hermits
KIM GRAY . . . . . No Moonlight . . . . . Compulsion
HOLIDAY GHOSTS . . . . . Staring at the Moon . . . . . Holiday Ghosts
TELEVISION . . . . . Marquee Moon . . . . . Marquee Moon (Expanded & Remastered)
BARRANCE WHITFIELD & THE SAVAGES . . . . . Full Moon in a Daylight Sky . . . . . Under the Savage Sky
SUGARMAN 3 . . . . . Jealous Moon . . . . . What The World Needs Now
JOYA LANDIS . . . . . Moonlight Lover . . . . . Tighten Up Volume 2 [2 CD]
MAC DEMARCO . . . . . Moonlight on the River . . . . . This Old Dog

NEIL ARMSTRONG . . . . . One Small Step . . . . . NASA
LOTHAR & THE HAND PEOPLE . . . . . Space Hymn . . . . . Space Hymn
WRECKLESS ERIC . . . . . Walking on the Surface of the Moon . . . . . Hits, Misses, Rags & Tatters: The Complete Stiff Masters
CREEDENCE CLEARWATER REVIVAL . . . . . Bad Moon Rising . . . . . Chronicle: The 20 Greatest Hits
THE DEX ROMWEBER DUO . . . . . Beyond the Moonlight . . . . . Images 13
JOHN DOE . . . . . Moonbeam . . . . . Keeper
MARIANNE FAITHFULL . . . . . No Moon in Paris . . . . . Negative Capability
BRUCE SPRINGSTEEN . . . . . Moonlight Motel . . . . . Western Stars
IKE REILLY . . . . . Underneath the Moon . . . . . Born On Fire
FIELD MEDIC . . . . . Hello Moon . . . . . Fade Into The Dawn
SHANA CLEVELAND . . . . . Night of the Worm Moon . . . . . Night Of The Worm Moon
NEKO CASE . . . . . I Wish I Was the Moon . . . . . Blacklisted (Original Recording Remastered)
BRIAN ENO . . . . . Always Returning . . . . . Apollo: Atmospheres And Soundtracks [2 CD]
THE BYRDS . . . . . Armstrong, Aldrin and Collins . . . . . Ballad Of Easy Rider

Here's some footage of Buzz Aldrin and Neil Armstrong on the moon