Consider that originally individual indicated separateness and indivisibility which was intimately close to the era of flourishing individualism so that these properties have been projected towards a human person, and thus you get an 'individual' instead of a 'person.'
What do you call the point at which an individual water supply line ...
The concentration of value in America’s stockmarket is staggering. So is the concentration of individual power. Four of the ten most valuable firms—Alphabet, Berkshire Hathaway, Meta and Oracle—are ...
Here in Australia we're more likely to use the British term for things than the American term. I would say "cinema", or possibly "theatre". The major cinema chain where I last saw a movie calls the individual theatres "cinemas": the email confirmation says the movie was in "cinemas 6" (the venue has 8 screens).