There's too much noise in the world for people to realize that 'Blade Runner' is playing at some random theatre.
What could work are co-markted events, for example, playing 'Blade Runner' leading up to a new release, and, if it's promoted broadly.
Or 'film festival' type things - I'm also certain there's a market for Venice/Cannes/Oscars content even in the theatre chains but it'd require marketing coordination.
Finally - price. It's too expensive relative to the 'almost big screen' we have at home, and the shift to 'Big CGI Only' for theatres is real. This is a whole other problem.
Don't underestimate the lethargy and stupidity of mega corps. Content owners vastly overvalue their catalogues, and movie chain theatres are stupid and completely lacking in creativity.
They will go out of business before they even entertain an idea.
I expect that it's trivial to get a copy of a new release, and logistically challenging (and relatively expensive) to get a copy of an old one.
The main value in showing older content is variety. The more films you acquire to show, the more cost (plus overhead cost) you endure.
The studios that own the copyright to older films are the same corporations that want you showing their new lazy high-budget Action Hero XVII shit instead. They are likely to make restrictive deals with large theater chains (the ones with enough budget for quality projectors and seating) to set a schedule that aligns with box-store release dates.
Similarly, when Disney bought what used to be 20th Century Fox, they immediately changed the economics of their classic rescreening programs (as Disney's "Vault" procedures have always been anti-rescreening). That was said to have directly led to breaks in long runs of Rocky Horror Picture Show specifically as Disney's price changes made it tougher to keep it running in some cities that had previously run it regularly for decades. (Of course, that timing was around 2020 so in most cases that wasn't the only excuse to break such traditional people gatherings.)
(ETA snark: it's almost like copyright terms are too long and rent seeking too easy on cinema classics.)
The market is very small, compared to new releases. It's not hard for an existing theater to test this
The ones that work have some unique spin, e.g. the Wurlitzer organist plays an overture, or it's a singalong, or a cult classic for meetups like RHPS, etc
European, Latin american and Indian movies do have prohibitive prices, so you cannot show them, their fault.
Have weeks centered around classic directors, stars or themes.
A week of Hitchcock films. Or Scorcese films. Or Classic Thrillers week. Or Murder Mystery week. etc.
Maybe the economics aren't there...? But many of the things I might want to see aren't on the streaming services I have anyway.