There are many 'overwatch' type jobs, a number that carry heavy responsibility, that mostly only require "light regular attention" and the skill level to be on the ball and top of your game in bursts.

Versions I've had:

* Control room operator in an industrial plant (watch, make sure things are routine (listen to music | audio book), deal with "exceptions" (tradespeople locking machines out, bringing them back online, co-ordinating)).

* Maintaining throughput on data processing pipelines (eg: geophysical data processing, tape | drive | archive loading, initiating various steps, looking for "oddities" .. letting the machines run (listen to audiobook, watch console)).

* Several other variations I could list (but time is short ATM).