While delivering a parking ticket to a small village in the Florida everglades, Officer Dave Speed finds himself in the middle of a radiation experiment conducted by the American government and NASA, where a detonated nuclear missile gives him a multitude of superpowers.

In 1978, $20 million was stolen from a Detroit bank. One of the robbers was caught, one was found dead, and the third disappeared. The money was never found. Seven years later, the robber who was caught was released from jail. He immediately went to Miami, only to be found dead the next day. Now FBI agents Doug Bennet and Steve Forest have been called in to investigate the case while posing as Miami police officers. Somewhere in Miami the third robber is hiding with his $20 million, and he has a seven-year head start on the authorities.

After Doug picks up hitchhiking Rosco with his truck, they are mistaken for two bank robbers by the traffic police. They manage to escape only to be confused for two secret agents while trying to take a flight at the airport.

A Lothario (Tomas Milian), in trouble for fooling around with a Senator's wife, becomes an unwitting witness to a mob murder. Police Lieutenant Parker (Bud Spencer) tries to solve the case in enough time to take his long-suffering family on vacation.

A scientist at a Florida university inadvertently creates a "rage virus" while performing experiments intended to restore dead brain tissue in baboons. When a journalist for the college paper breaks into the campus lab, he's bitten by one of the infected baboons; the virus soon spreads to a trio of rapists and a valley girl, all of whom go on killing sprees.