A moment early on in “Disclosure Day” will instinctively feel familiar to anyone who grew up with Steven Spielberg films. A TV weather report predicts hail. The camera pans downward, from television set to kitchen table.

Legendary director Steven Spielberg is weighing in on whether he thinks aliens really exist as his new movie, Disclosure Day, hits theaters.

The film starts in medias res, as Dr. Daniel Kellner (Josh O'Connor) is being pursued by Noah Scanlon (Colin Firth) and a team of henchmen for stealing intellectual property from Wardex, a government ...