Here's a longplay of Batman - the Caped Crusader for the C64. This game has two campaigns, one on each side of the tape. They are the Penguin campaign and the Joker Campaign. This is the Penguin campaign.
From Wikipedia:
Batman; The Caped Crusader is an action adventure game developed by Special FX Software (Jonathan Smith, Charles Davies, and Keith Tinman) and published by Ocean Software for the 8-bit home computers such as the ZX Spectrum and Commodore 64 and by Data East for other platforms such as the Apple II, Commodore Amiga and PC in 1988. Learn about Batman: The Caped Crusader