A Box of Their Best is the first US box set by Electric Light Orchestra (ELO), released in 1980.

It consisted of the albums A New World Record (with the sides reversed), Out of the Blue and Discovery.

Also included was Jeff Lynne's first ever solo single, "Doin' That Crazy Thing".

The box set is almost identical to the UK release Four Light Years, released the same year.

All songs written by Jeff Lynne.