When you refer to "flashback cinema movies", my understanding to that is shown before, or even older movies. If my understanding is correct, my answer is: In my experience, I have only seen movies of that kind at Edwards Theater in Fresno. I believe they offer some special kids days during certain breaks from school. But, I'm not sure that's part of your question. It never hurts to plant an idea eith the theater though. They may decide to do that.
I am not entirely sure if they do offer that request, but I can suggest that you can give them a call and ask them if they do that of the sort
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