Alamo Drafthouse does this kind of thing constantly. Not just showings of old movies (where "old" can mean anything from 80 to 5 years), but themed movie parties with props and costumes and special food and drinks. They'll do a theme for the month and curate a set of movies around it, showing a trailer for the collection before regular movies. They'll have the original directors or stars come in for screenings and they'll do Q&A afterward.

Combined with the overall experience (which is hands and feet above that of Cinemark or AMC), Alamo feels like the only theater company that still gets it.