I want to make a voiceover commentary on a video sound like it's coming from a 1960s tape or film reel. I suppose for that I need to reduce quality in a distinctly "analog"-sounding way, add some noise, filter out some frequencies etc. What kind of effects setup or plugin would you suggest? I'm using Logic Pro X as the DAW.
Look for a tape plugin. Waves do a free demo of theirs that works for seven days. Tape saturation, wow and flutter etc. I used it on a friends track because wanted it to sound like it was recorded in the 80,s. It's great. Be sure of your methods before you activate it because it stops working after 7 days.
The most important thing with this won't be the "plugin" you use it will be the performance and language used in the voiceover performance. That will be the key to ensuring authenticity.
For instance, if you were to look at voiceovers or presenter performances in Australia, they would be markedly different today than they would have been back in the 1960's. Accents would be different, language and grammar would have been different.
Focus primarily on performance, then look at the technical side of the production. The technical side is easy in comparison.
Most voiceovers from the 1960's will have little production sound and lots of orchestral music going on in the background. Check youtube for loads of examples.
Mark is right--
Getting someone who can actually do the voice will be the most important part. After you've got that out of the way, make it tinny be bringing out the mid-highs and then run it through a couple tape saturators.
If you wanna add a VERY SUBTLE vinyl noise to it, a plugin such as iZotope Vinyl (which is free) would do the trick, but it might be easier to just use some vinyl samples. Check out the 99Sounds vinyl FX pack.