It’s easy to dismiss The Monkees. Critics and listeners have been doing it since the sixties, although the band has also come in for its share of reappraisals, particularly for their psych-rock album Head. (That’s the soundtrack from the 1968 Jack Nicholson-directed art film of the same name: “One of the weirdest and best rock movies ever made.”) But whatever you think of The Monkees’ music, you have to admit: they had one of the most extraordinary careers of any band in rock and roll.
They...