The best alien invasion movies feature the most exhilarating stories about extraterrestrial visitors, from War of the Worlds to Annihilation.

Disclosure Day,” a new extraterrestrial tale from Steven Spielberg starring Emily Blunt, Josh O’Connor, Colin Firth and Colman Domingo, is winning over Rotten Tomatoes critics in a big way.

Movies about disasters—natural or human-made—have been produced since the earliest days of film. As early as 1916, a disaster with an extraterrestrial cause was touted in The End of the World, a ...