A man with a low IQ has accomplished great things in his life and been present during significant historic events—in each case, far exceeding what anyone imagined he could do. But despite all he has achieved, his one true love eludes him.

At the height of the Vietnam war, Captain Benjamin Willard is sent on a dangerous mission that, officially, "does not exist, nor will it ever exist." His goal is to locate - and eliminate - a mysterious Green Beret Colonel named Walter Kurtz, who has been leading his personal army on illegal guerrilla missions into enemy territory.

Léon, the top hit man in New York, has earned a rep as an effective "cleaner". But when his next-door neighbors are wiped out by a loose-cannon DEA agent, he becomes the unwilling custodian of 12-year-old Mathilda. Before long, Mathilda's thoughts turn to revenge, and she considers following in Léon's footsteps.

Suffering from insomnia, disturbed loner Travis Bickle takes a job as a New York City cabbie, haunting the streets nightly, growing increasingly detached from reality as he dreams of cleaning up the filthy city.

A small suburban town receives a visit from a castaway unfinished science experiment named Edward.