Ideally I'd love an option as Admin for a copy of every message posted to be sent to the email address of my choice. I have always liked keeping a permanent email store of every public message sent on the system for practical and legal reasons. Not even seeing a lot of the messages I might be held legally responsible for displaying online feels wrong, and risky.
Likewise with new joiners, I miss knowing about every single one via an email with their joining info in it. Ideal again for storage as a permanent perfect offline record of what happened when for practical and legal reasons. I also find that very helpful when dealing with streams of fake join ups. I can spot unique characteristics and prevent further join up attempts if those are present.