In addition to snoozing, repeat events, and the ability to broadcast a reminder system wide, would also be useful.

Yes Lynn, I can see the concern with pranksters. You didn't say anything about repeating events. Is that possible? Things that happen monthly, quarterly, annually?  
 
Another thing that was mentioned  a while back is triggers. One that would be very useful to me is a trigger to alert me that an employee has reached x amount of days or hours of service and has become eligible for X benefits, or something along that line. There are so many employee time or date related events and I haven't found a good way to keep all that in order.
 
Thanks,