Showdown
Showdown is a black-and-white Western showing in New York in 1994.
History
The trio were thrilled by it when it came out, particularly Broadway. Unfortunately, his overenthuasiasm about a gunfight in it led to his accidentally shooting Elisa with her own gun afterwards. ("Deadly Force")
Other
Showdown presumably showed at the same theatre where the Trio later watched Bambi.