I, likewise, am at a loss to know what you’re talking about. (Is this some sort of roll-playing game?) However, exactly what type of 60’s music do you need? Early 60’s Pop (e.g., Phil Spector, Roy Orbison, Brenda Lee, post-Army Elvis, etc.)? British Invasion (e.g., early Beatles, Stones, Hollies, Dave Clark Five, etc.)? Motown/Stax/soul (e.g., Supremes, Four Tops, Marvin Gaye, Temptations, Aretha Franklin, James Brown, Otis Redding, etc.)? Garage rock (e.g., Sam the Sham,"?" and the Mysterians, 13th Floor Elevators, Count Five, etc.)? Folk-Rock (e.g., Bob Dylan, Byrds, Buffalo Springfield, Turtles, Simon and Garfunkle, etc.)? Surf (e.g., Beach Boys, Jan and Dean, Ventures, etc.)? M.O.R./Pop (e.g., Dusty Springfield, Dionne Warwick and everybody else who sang Burt Bachrach/ Hal David compositions, etc.)? Psychedelic (e.g., later Beatles, Jefferson Airplane, Doors, Jimi Hendrix, etc.)?
As you can see, this is already a lot of music and I’m just skimming the surface. (Although, given the apparent theme of your game, I’m guessing your choices would be more along the psychedelic line.)