I would be happy to advise in more depth if you're interested (at any time, not only right now) but three options occur to me:
1. Query nonfiction agents who handle this sort of thing (quirky yet erudite books about movies; collections of movie reviews; film criticism and analysis.) You can find out who they are by looking at acknowledgments in a bunch of those books that have been published recently. Authors usually thank their agents.
2. Query small presses, ditto. (i.e., small enough that they take direct queries from authors.) I bet there are a handful of small presses (possibly including academic) that focus on exactly this topic. I don't know what they are offhand, but it would be really easy to look up.
3. DIY. Self-publish. Pre-Amazon, nonfiction on a very specific subject used to be considered the ONLY genre where it made sense to self-pub. That's no longer true, but I think this would still be a pretty viable self-pub book. You'd probably want to tip off communities, magazines, etc for serious fans of old movies; I bet you could get some reviews and publicity. It's not a community that I know much about, but I know it exists and might really appreciate your writing.
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1. Query nonfiction agents who handle this sort of thing (quirky yet erudite books about movies; collections of movie reviews; film criticism and analysis.) You can find out who they are by looking at acknowledgments in a bunch of those books that have been published recently. Authors usually thank their agents.
2. Query small presses, ditto. (i.e., small enough that they take direct queries from authors.) I bet there are a handful of small presses (possibly including academic) that focus on exactly this topic. I don't know what they are offhand, but it would be really easy to look up.
3. DIY. Self-publish. Pre-Amazon, nonfiction on a very specific subject used to be considered the ONLY genre where it made sense to self-pub. That's no longer true, but I think this would still be a pretty viable self-pub book. You'd probably want to tip off communities, magazines, etc for serious fans of old movies; I bet you could get some reviews and publicity. It's not a community that I know much about, but I know it exists and might really appreciate your writing.