Crouch had not started a game since March 30 and rewarded Tony Pulis for his recall to the starting XI by netting just before the interval against the club that tried to sign him in January.
Recalled playmaker Taarabt dipped a 30-yard free kick just over the crossbar before Bosingwa forced Asmir Begovic into a smart save from his bending strike.
Begovic's opposite number Robert Green was nearly at fault for a Stoke opener when he spilt a Jonathan Walters shot, only to pounce on the rebound before Crouch, who tested the Hoops stopper with a 25-yard volley, could react to the loose ball.
Green could do nothing to prevent Crouch on 44 minutes, though, as the former England international striker converted from close range following a Cameron Jerome break.
Christopher Samba nearly netted an immediate equaliser when he guided a side-footed volley just wide of the away goal.