I think Tom Hanks is prominently wearing a 70-71 Omega. This is a new obsession. I see watches everywhere. It was hard to follow the dialogue. So many watches.
My preferred method for watching movies is at home on demand for many many reasons, but this is one of them - easy to rewind and confirm without missing anything.
I got this issue too. I was watching the original Exorcist recently and kept looking for watches. I think I saw one of the doctors with black dial Rolex Daytona.
One can spend hours/days trying to spot all the timepieces featured in Mad Men. Some examples: https://www.watchtime.com/blog/5-watch-brands-mad-men/