Benedict Cumberbatch is overdue. He's done a lot of work on the London stage, but never in New York, to my knowledge. Same goes for Tom Hiddleston. I imagine both have gotten offers many times that didn't pan out. I'll also add Claire Foy to that category of British stage/screen stars who just have never done a play in New York before. Lily Collins as well.
As for a younger group without as much stage experience, I would love to see Olivia Cooke, who was really amazing in Amazon's Vanity Fair. Many actors mentioned previously in this thread I fear would struggle to make their subtle choices come across in big theaters, but I think Margo Robbie, Jennifer Lawrence, and Anne Hathaway could all carry star vehicles.
On a related note, it's been over 40 years now since Meryl Streep has been on Broadway. It's been over a decade since her last stage performance (Mother Courage). I would pay so much money that I don't have to be able to see her on Broadway.