Successfully complete the indicated mission to unlock the corresponding music for the Swingin' Jukebox:

Albion Disguised: Mission 10
Albion Hunted: Mission 10
Albion Undisguised: Mission 10
Back In That Room: Mission 4
Bay City Disguised: Mission 5
Bay City Hunted: Mission 5
Bay City Undisguised: Mission 5
Destroy All Humans 2 Theme: Mission 19
Dirty Red: Mission 21
Down In The Valley: Mission 9
Help You Ann: Mission 12
Long Road: Mission 9
Moon Base Solaris Disguised: Mission 28
Moon Base Solaris Hunted: Mission 28
Moon Base Solaris Undisguised: Mission 28
Pattern Skies: Rage Of Aquarius side-mission
Pier 13: Mission 18
She Changes Like The Weather: Mission 3
Takoshima Disguised: Mission 16
Takoshima Hunted: Mission 16
Takoshima Undisguised: Mission 16
Tunguska Disguised: Mission 22
Tunguska Hunted: Mission 22
Tunguska Undisguised: Mission 22
Turn It Off: Mission 18
When You Touch Me: Rage Of Aquarius side-mission