I've once implemented a solution which periodically checked incoming e-mail from PHP through IMAP and took actions based on their contents.
It is significantly easier to set up than solutions described in Configuring Inbound Email and it can be used with any mailbox (even hosted).
I'm giving it a Wishlist priority with the addendum that it's not my wish (I don't personally need this feature). But I can implement it (or help with implementation) if anyone is interested.