When we moderate multiple lists, it is quite painful or boring to moderate these lists. In particular, we don't know which list needs moderation, and for each list, we should find it and check pending requests.
Maybe we can have a single interface that shows us current pending requests, and this table gives us directly lists that needs an action. By that way, we can know what we can do, without waiting for the next day for the pending requests reminder.
To make the moderation easier, the mails that notify moderators that an action is pending should contain a link to the web interface. I know that it could be quite hard to link the core and the web interface and you may not want it, but it would be a great comfort for all administrators and moderators. Mailman 2 was doing this, and it was pretty useful.