The 1960s produced some of the most groove-worthy and transformative music in modern history. This swinging decade created a soundtrack for the massive cultural changes seen throughout the world.

The 1960s were a great era for music. Beatlemania took over the world, Chubby Checker inspired a dance craze, and Nancy Sinatra sent girls flocking to buy go-go boots. In 1964, Motown Records—which ...