Such adapter does exist and works wonder, at least for me. If I'm not wrong (I haven't used it for a while now and don't have it at hand), I have the UFQ one, which should be available on Amazon.
Powered XLR connectors in the Airbus are an option (at least on the "old" A320s that I fly) for which many airlines didn't invest the money sadly. Not sure if it is standard or option on newer models.