This vampire spoof has Count Dracula moving to New York to find his Bride, after being forced to move out of his Transylvanian castle. There with the aid of assistant Renfield, he stumbles through typical New York city life situations while pursuing Cindy Soundheim. But her boyfriend, Doctor Jeff Rosenberg, realizes she is under the influence of a vampire, and tries his bumbling best to convince police Lt Ferguson of what is going on, and to help him stop Dracula.

The Americans and the Russians each have a two-person base on the moon. The Americans have had to keep replacing their astronaut teams because they quickly go crazy; they have been using only male astronauts on the unspoken assumption that this would avoid any possibility of impropriety. The Russians, as godless Communists, are under no such constraints, and their male-female team has remained well-adjusted. At the start of the film, a male and female American astronaut team is sent up to replace the sex-starved all-male team. The government insists on them being married first to preserve morality. Most of the story revolves around the eventual consummation of this marriage of convenience, and around their relationship with their Russian neighbors, who keep casually dropping by.

A by-the-book Captain is ordered to capture a strategic village in Italy. The Italian soldiers are willing to surrender, if they can have a festival first. The lieutenant convinces the Captain this is the only way. Because of aerial reconnaissance, they must look like they are fighting. To sort this out an intelligence officer is sent in. Meanwhile the festival gets complicated with the Mayors daughter.

Down-on-his-luck theatrical producer Max Bialystock is forced to romance rich old ladies to finance his efforts. When timid accountant Leo Bloom reviews Max's accounting books, the two hit upon a way to make a fortune by producing a sure-fire flop. The play which is to be their gold mine? "Springtime for Hitler."