Fallout 4 Soundtrack

The Fallout 4 soundtrack contains two main elements:
 * The ambient soundtrack composed by Inon Zur.
 * Songs and other musical works which are played by the various radio stations.

Diamond City Radio
Note: songs marked with a (†) have been reprised from Fallout 3.
 * Rocket 69 by Connie Allen
 * Crawl Out Through The Fallout by Sheldon Allman
 * A Wonderful Guy† by Tex Beneke
 * Whole Lotta Shakin' Goin' On by Big Maybelle
 * Uranium Fever by Elton Britt
 * Butcher Pete (Part 1)† by Roy Brown
 * Butcher Pete (Part 2) by Roy Brown
 * Good Rockin' Tonight by Roy Brown
 * Mighty, Mighty Man† by Roy Brown
 * One More Tomorrow by Frankie Carle
 * Orange Colored Sky by Nat King Cole
 * Ac-Cent-Tchu-Ate the Positive by Bing Crosby
 * Pistol Packin' Mama by Bing Crosby and The Andrews Sisters
 * Dear Hearts and Gentle People by Bob Crosby
 * Happy Times† by Bob Crosby
 * Way Back Home† by Bob Crosby
 * The End of the World by Skeeter Davis
 * The Wanderer by Dion DiMucci
 * Undecided by Ella Fitzgerald
 * Into Each Life Some Rain Must Fall† by Ella Fitzgerald and The Ink Spots
 * Atom Bomb Baby by The Five Stars
 * Keep a Knockin' by Louis Jordan
 * Grandma Plays the Numbers by Wynonie Harris
 * Crazy He Calls Me† by Billie Holiday
 * Easy Living† by Billie Holiday
 * It's a Man by Betty Hutton
 * He's a Demon, He's a Devil, He's a Doll by Betty Hutton
 * It's All Over But the Crying by The Ink Spots
 * I Don't Want to Set the World on Fire† by The Ink Spots
 * Maybe† by The Ink Spots
 * Civilization† by Danny Kaye with the Andrews Sisters
 * Personality by Johnny Mercer
 * Anything Goes† by Cole Porter
 * Right Behind You Baby by Ray Smith
 * Uranium Rock by Warren Smith
 * Worry, Worry, Worry by The Three Suns
 * Sixty Minute Man by Billy Ward and The Dominoes

Magnolia's songs
The soundtrack also features original songs composed and performed by Lynda Carter, John Jarvis, and Kerry Marx as sung by the character, Magnolia, in the game.
 * Baby It's Just You
 * Good Neighbor
 * I'm the One You're Looking For
 * Man Enough
 * Train Train

Classical Radio

 * Antonin Dvorak: New World Symphony
 * Pyotr Ilyich Tchaikovsky: Marche Slav
 * Edvard Grieg: In the Hall of the Mountain King
 * Rimsky-Korsakov: Scheherazade
 * Holst: The Planets (Jupiter)
 * Richard Strauss Also Spach Zarathustra
 * Johann Strauss II: The Blue Danube Waltz
 * Igor Stravinsky: Petrouchka

iTunes release
The original soundtrack for Fallout 4 was released on iTunes on November 6, 2015. The album in its entirety costs $16.

Other

 * The Battle Hymn of the Republic