Letterforms are similar to Times New Roman but for subtitles to work you should have a lower contrast and a thicker outline.
This is what Times NR would look like if it was made thicker by use of a parallel lines technique.
Or you could forget about matching the letter-forms with a font available in the early 1970s and look for a low contrast serifed font that would be thick enough to be easy to read on screen.
Don
Georgia, designed by Mathew Carter, is about as close as Times New Roman and is lower contrast. It would work for the subtitles -- as shown in the top example -- and would be fairly easy to read if it was made thicker by use of a parallel lines technique -- as shown in the second example.
Don