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.

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.

Reviews for Disclosure Day were released this morning ahead of the film's opening later this week, and the response, so far, has been heavenly, with an 89 percent on Rotten Tomatoes and a 73 rating on...