Sometimes I get done working and my mind is utterly exhausted. I want something to entertain me mindlessly.
Is there a good verb to describe this action?
Take one's mind off is a useful expression:
to divert / to distract
"I was like a boy playing on the sea-shore, and diverting myself now and then finding a smoother pebble or a prettier shell than ordinary, whilst the great ocean of truth lay all undiscovered before me." Isaac Newton
I wonder if you meant on who does it unintentionally or a diversion.