Get ready to scream: Netflix is bringing a collection of Alfred Hitchcock films to the streaming service this June — and, despite chief Ted Sarandos’ belief that the movie-theater biz is “outdated,” the company will showcase the legendary filmmaker’s work at its Paris Theater in New York City in a six-week series.

Starting June 1, a collection of classic Hitchcock films will be available to stream in the U.S. Those will include “Vertigo,” “Rear Window,” “Frenzy,” “The Man Who Knew Too Much,” “Family Plot” and “The Birds.” Currently, U.S. customers can stream Hitchcock’s genre-defining masterpiece “Psycho,” now available on Netflix in the country.

In addition, Netflix’s Hitchcock collection will include films inspired by the British-born director, such as Jordan Peele’s “Us” and Zach Cregger’s “Barbarian,” as well as narrative feature “Hitchcock” directed by Sacha Gervasi.

Meanwhile, Netflix’s Paris Theater will present “Hitch! The Original Cinema Influencer,...