Hello @NJCTS ,
At the moment this wouldn't be possible with the standard Reporting or Campaigns tabs' export functions. With that said, you could run a segment with whatever parameters you want to set, make a list from that segment, then export that list's info, including other list memberships. It's a really roundabout way to do it, but I believe it should get you what you need for your reporting minus really specific details like how often the contacts opened the email, exactly when they opened the email, etc.
For example, you can:
set Contact Activity > Opened > Specific Email
add it to a list you make called something like "Specific Email's Report"
Select all the contacts in this newly made list and export them, with their individual list memberships included in the data
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