An “unknown force” declares war against planet Earth when the United Nations disobeys warnings to cease and desist in its attempts at assembling the first satellite in the atmosphere.

Gillian Holroyd is just your average, modern-day, witch, living in a New York apartment with her Siamese familiar, Pyewacket. But one day a handsome publisher, Shep Henderson walks into her building and Gillian decides she wants him—especially as it turns out he’s marrying Merle Kittridge, an old poison penpal from Gillian’s college days. So, Gillian casts a spell over Shep. But her powers are in danger of being exorcised by something stronger than the bell-book-and-candle routine: Love.

In the French Riviera, the spoiled and futile seventeen years old girl Cecile (Jean Seberg) is spending the summer vacation with her father, the widow playboy and bon-vivant Raymond (David Niven), and his girlfriend Elsa (Mylène Demongeot). Cecile has a serious Complex of Oedipus with her father, and they have a quite incestuous relationship. The successful designer and former friend of her mother Anne Larson (Deborah Kerr) arrives in their seaside house invited by Raymond to spend a couple of days with them, and the life of Cecile changes when Raymond proposes Anne to marry him. Full of jealousy, Cecile plots with Elsa to separate Anne from Raymond.

Norman and Mr Grimsdale are council workmen mending the road outside an Army base when they come into conflict with the military. Shortly afterwards, they get drafted and fall into the clutches of the Sergeant they have just bested. They are sent to France to repair roads in front of the Allied advance but get captured. Norman takes advantage of a useful similarity to impersonate General Schreiber and manages to return a hero.

Einar and Eric are two Viking half-brothers. The former is a great warrior whilst the other is an ex-slave, but neither knows the true identity of the other. When the throne of Northumbria in Britain becomes free for the taking, the two brothers compete against one another for the prize, but they have very different motives - both involving the princess Morgana, however.