Create a pluggable framework for external notifications
Implement the integration of external notifications (from apps for instance) into the notification part of the Office 365 suite bar. That way, apps can become more integrated into the whole and for a user it becomes easier to navigate directly to the stuff that needs their attention.
An easy start would be to fire off a (client side?) call to a webservice which would then return the proper notifications to be shown in the notification bar. In the future maybe provide API calls to push new notifications into the system.