This would be something I would like to see. One thing I have noticed when running around between cities is that there will be quest icon floating in the city that you know for a fact that it wasn't there the last time you passed through.
It would be very useful to have some sort of notification or a tab in the quest logbook, to let the player know when new ones pop up and showing ones that you may have missed.
Sure, you can say that one can simply go back to every town and check but, that gets to be a little time consuming when traveling between worlds.