A few years back Netflix bought out the "Paris Theater" which is the oldest single screen theater in the city.
It was meant to allow fans to watch their newest movie releases in a theater format along with giveaways to get people in the mood.
I saw the debut of "Kate" a few days before it actually hit Netflix. (wonderful movie if you like John Wick. Mary Elizabeth Winstead is the female John Wick!)
They recently did some renovations and to celebrate they brought back a bunch of classics.
Oh I just checked: Funny enough its playing today! But unfortunately its sold out :/
[1]:https://www.paristheaternyc.com/films/showtimes/?filmId=HO00...
NYC is kind of a exception since there is so much competition: you end up seeing tons of classics played here all the time. If you are ever in NYC, another place that is wonderful is the roxy theater as well as BAM. I saw Terminator 1 & 2, Hackers, Resident Evil 1 all this year in 35mm at these theaters.
I don’t know of any other places showing film in the area, but I do know the Carolina Theatre in Durham shows loads of classics.