Making Microsoft Office Reminders get your attention
Solution 1:
If you REALLY want to keep using Office you could sync office with reminders and iCal. But i'd recommend using iCal for this or if you're on office 2011 use the calendar in outlook instead of the reminder app.
Solution 2:
I had problems with Office Reminders on OSX, too. The problem was that I was getting rid of the reminder box by hitting command-Q. The reminders would go away for the remainder of the day.
Instead, I now clear the reminder by pressing Enter or Command-Enter, and then the reminder comes up for all invites.
As far as I know, the reminder window should pop up on top of all other windows.