Egghead and Olga, Queen of the Cossacks, steal two pounds of Radium from the Gotham City Radium Center. Using it in their "Zapping Machine," they attempt to hatch an ancient Neosaurus egg, planning to feed the baby dinosaur a meal of Batman, Robin, and Batgirl. Surprisingly, the machine seems to be working. But when the egg cracks, the baby Neosaurus is more than they can handle.

The Joker plans to become the king of surfing, hoping the fame will give him control over the hearts and minds of Gotham City. He captures top surfer Skip Parker, then uses his "Surfing Experience & Ability Transferometer" to transfer the needed skills and stamina from Skip to himself. When all the other contestants drop out of the upcoming surfing match, Batman steps up to challenge the Joker's supremacy.