Try deleting the adobefnt*.lst files where * is a 2-digit number.
Thank you for taking the time to help me. I located these files and deleted them. Closed InDesign and reopened it. Opened a file and have the same issue with now fonts available to be chosen
The sort of last resort measure for this kind of problem is to put a copy of the font into the Fonts folder in the InDesign application folder.
I am having a similar problem. I just upgraded to creative cloud after I needed to reinstall my indesign anyway after a computer crash.
Now a document that I was working on suddenly is missing the fonts that I used.
I really don't want to replace all the missing fonts since this is an advertising piece and the ads have been approved by the merchants already.