Did you notice?
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No, it is funny you say that as I saw yesterday BTTF (III) but, where can you recognize that is the same city?
Opening shot of the town, you see the clock tower.
I just googled this. It's not meant to be the same city, but if you pay attention they do use a couple of the same sets. You can see the cinema that Marty crashes into at the end in Gremlins as well, apparently.
Nope, But I will have to look at it now that you mentioned it. Thanks for pointing that out.