Two-Way Deathtrap - A crook with a cave hideout is able to eavesdrop on the Batcave, even though he can't locate it. After hearing the details of one of Batman's dreams, he sets up a trap for Batman that the Caped Crusader has been unable to escape.

A Rendezvous With Robbery - Pat Powell and Bruce Wayne are going to be formally introduced while unmasked, but that is prevented by a robbery committed by the catering company at Bruce Wayne's party. When Bruce dons Batman attire, they start to work together to track down the crooks.