I found this post maybe a month or two ago. Someone recommended a small local "agency" where it looked like one woman managed a property or two, and also worked with a few more. The website was a little wonky :) but the product looked really great. I found one where someone had two apts in the same building, one of which she lived in and did b&b. And lots of others. (Well--lots is relative! I saw maybe 10 units that would've suited my family--so not an AirBnB or VRBO by any stretch.)
Does that ring any bells? I did a search on "apartment, Paris" and got SOOO many results. I can't believe I didn't bookmark it!