There's at least one projectorprojector that gets used for movies. From the ISS National Laboratory blog post https://www.iss-casis.org/blog/movie-night-on-the-international-space-station/Movie Night on the International Space Station:
NASA astronaut, Joe Acaba, posted this image showing the crew relaxing together while watching a movie. According to him “I can’t think of a better movie theater to watch Star Wars than on the Space Station!”
Apparently there's a fairly well-stocked movie library aboard. A FOIA request revealed its extent, shown in Gizmodo's The Complete List of Movies and TV Shows On Board the International Space Station
As for largest screen size, perhaps the sky's the limit?