Once again, what a great idea. It's very generous of you to offer to do, and share, these.
I'd be happy to help with identifying controllers and double-checking the jargon where possible.
For Apollo 13, there's a lot of good action on the Retro loop from 137 hours onwards until splashdown at 143 or so. Retro leading the flight dynamics work at that point, obviously, because they were responsible for re-entry. That would be my first recommendation for Apollo 13.
Earlier on, the serious discussion of burn options on the FIDO loop seems to start around 063 hours and presumably runs up until the PC+2 burn at 079:30 or so (though I haven't listened that far yet).
But I guess if I were going to start anywhere with the FIDO loop I would start with Apollo 11. The descent is, of course, gripping, as is the immediate aftermath when FIDO is still trying to work out where they landed. Maybe from 101 to 105 hours?
Also of interest on Apollo 11 is the preparation for the TEI burn, because there was all sorts of hassle and miscommunication and rescheduling, with FIDO (Greene) and RETRO (Deiterich) as a wonderfully bickering double act. That runs roughly from 128 to 131 hours, although the post-burn analysis and bickering continues through to 135 hours.
Hope that's useful! I have pretty detailed logs of the sections I've listened through, but only in the sense I've noted down what I found amusing or interesting... not encyclopedic at all, just an aide memoire.