TL;DR: This would cause more problems than it would solve, especially when dealing with new users, so no, we shouldn't do this.
Napoleon Wilson has already pointed out in the comments that we can already search for all versions of a film by using wildcards, so you're trying to solve a problem that doesn't really exist. But in addition, I can see three further problems that your system would cause:
1. We can't force usage of the year tags
Say a user wants to ask a question about the remake of Beauty and the Beast. Right now, they'd type "beau" into the tag box, see beauty-and-the-beast-2017, think, "Bingo, that's the one", and select it. Under your system, they'll just see the beauty-and-the-beast tag, select it, and then not realise that they have to tag the year separately. And if it's not immediately apparent from the question which version they're asking about, we'll have to ask them to clarify, and possibly close it as unclear if they don't.
Sure, we could put something on the "Add Question" page to tell users to do that. But 1-rep, one-time users just don't care. We've done everything we can think of to indicate that ID questions are off-topic here, short of writing "WE DO NOT ACCEPT ID QUESTIONS" in giant flashing neon letters, and yet we're still getting them.
2. Users might not know the year the version they watched came out
So they might guess and get it wrong, or just not put the year at all, in which case (as in #1) we're stuck asking for clarification. Sure, they could easily look it up, but again, they might not know they need to (or might not care).
3. Users might now know there are multiple versions of the film they're asking about
Case in point: I didn't even know there was a 1977 version of Suspiria until I read this very Meta question! So if I'd asked a question about the 2018 version, I wouldn't have added the 2018 tag because, as far as I know, Suspiria is Suspiria. I'd be happy to clarify once it was explained to me that there were different versions, but that's still five minutes of our time wasted compared to if I'd seen the suspiria-2018 tag right off the bat.
So, apologies, but I think this is a bad idea.