After Stanley Putterman installs a state-of-the-art satellite dish in his backyard, a strange monster leaps off the screen and needs to feed on humans for survival. The Putterman children Sherman and Suzy—along with Suzy's metalhead boyfriend O.D.—are left to figure out what to do.

In the later 1960s, two hippies are forced to leave their friends as they are wanted by the FBI, who sees them as criminals. They hide in the jungle for 20 years, secluded from the outside world. In the later 1980s, the find out that a secret war is about to start in the US, and decide to return to New York to tell someone about it.

A hapless talent manager named Danny Rose, by helping a client, gets dragged into a love triangle involving the mob. His story is told in flashback, an anecdote shared amongst a group of comedians over lunch at New York's Carnegie Deli. Rose's one-man talent agency represents countless incompetent entertainers, including a one-legged tap dancer, and one slightly talented one: washed-up lounge singer Lou Canova, whose career is on the rebound.

American soldiers, led by The Sarge, are stuck behind Nazi enemy lines. As they make their way across the Italian countryside, they come across an alien spaceship that has crash-landed in the woods. The alien pilot is dead, but one of the ship's passengers is on the loose. As the GIs hunt down the alien by splitting into smaller groups, they're not only tracked by the Nazis, but also a whole host of other aliens come to save their stranded party.

Frankie McGuire, one of the IRA's deadliest assassins, draws an American family into the crossfire of terrorism. But when he is sent to the U.S. to buy weapons, Frankie is housed with the family of Tom O'Meara, a New York cop who knows nothing about Frankie's real identity. Their surprising friendship, and Tom's growing suspicions, forces Frankie to choose between the promise of peace or a lifetime of murder.