LOS ANGELES — Ryan Murphy, the prolific television producer behind “American Horror Story,” “American Crime Story” and “Pose,” had a plan for the moment his first Netflix series would become available.

“I will pour myself a nice glass of cabernet, and I will experience the thrill of having a show of mine on there in that way,” he said. “I will be in front of my television at midnight, and I will watch it, because that’s been my dream for a couple of years.”

Mr. Murphy’s new show, “The Politician,” starring Ben Platt, Gwyneth Paltrow and Jessica Lange, starts streaming Friday. As the first offering from a crew of name TV producers who have signed with streaming companies, it marks a big moment in Hollywood.

Shonda Rhimes, the creator of ABC’s “Grey’s Anatomy” and “Scandal,” was the first big producer to leave traditional TV for a nine-figure deal with Netflix. Mr. Murphy was next, agreeing to make multiple shows for the platform for $300 million. Following them to Netflix were producers like Kenya Barris, the creator of ABC’s “black-ish,” and HBO’s “Game of Thrones” duo, David Benioff and D. B. Weiss.