I'm going to repost the things others have shared that I used to finally make FFXIV work for a whole night without crashing. I'm running Windows 7 - 64 bit. I hope it continues to work like this every night.
In the SquareEnix folder find:
Right click and go to Properties.
Click on the Compatibility Tab.
Select the following:
Run As Administrator - (Mine was already defaulted to this)
Windows XP Service Pack 2 - (Mine was defaulted to XP Service Pack 3)
Disable Desktop Composition - (This turns off Aero)
And if you haven't downloaded already, there is a new Nvidia Driver as of 10-18-10:
It's wonderful to just play all night uninterrupted. Thanks to everyone who shared these tips!