I'm having a similar issue, and have been sense about 3 days after official launch when I got the game. I can play perfectly fine on custom settings based off the High Desktop settings, without any lag or latency issues. However randomly, with no common event or place so far as I can tell, the game will crash.
Could be 5 mins after logging on, or 5 hrs. No error or anything, just a FFXIV has stopped working and windows is shutting down the program. There doesn't seem to be any rhyme or reason to it, and I've not had this issue running WoW when I played that. It does, much less often then FFXIV, happen on a rare occasion when playing a game in my Steam library. Any tips or advice, or fixes if someone else has found one, would be GREATLY appreciated!!!
I usually play in full screen, but have crashed with both min and max graph. settings, in windowed and full.
------System info.----
OS Name Microsoft Windows 7 Ultimate
Version 6.1.7601 Service Pack 1 Build 7601
Other OS Description Not Available
OS Manufacturer Microsoft Corporation
System Name NIK-PC
System Manufacturer MSI
System Model MS-7693
System Type x64-based PC
Processor AMD FX(tm)-4100 Quad-Core Processor, 3600 Mhz, 2 Core(s), 4 Logical Processor(s)
BIOS Version/Date American Megatrends Inc. V10.3, 3/28/2013
SMBIOS Version 2.7
Windows Directory C:\Windows
System Directory C:\Windows\system32
Boot Device \Device\HarddiskVolume1
Locale United States
Hardware Abstraction Layer Version = "6.1.7601.17514"
User Name Nik-PC\Nik
Time Zone Eastern Standard Time
Installed Physical Memory (RAM) 8.00 GB
Total Physical Memory 7.95 GB
Available Physical Memory 5.58 GB
Total Virtual Memory 15.9 GB
Available Virtual Memory 13.0 GB
Page File Space 7.95 GB
Page File C:\pagefile.sys
----latest crash report, i believe. 11/6 was the last day i played this week--
11/6/2013 3:34 AM Application Error Faulting application name: ffxiv.exe, version: 1.0.0.0, time stamp: 0x5266ada2
Faulting module name: nvd3dum.dll, version: 9.18.13.2049, time stamp: 0x51c40fa2
Exception code: 0xc0000005
Fault offset: 0x005ac81b
Faulting process id: 0xf70
Faulting application start time: 0x01ceda9fb04a3b51
Faulting application path: C:\Program Files (x86)\SquareEnix\FINAL FANTASY XIV - A Realm Reborn\game\ffxiv.exe
Faulting module path: C:\Windows\system32\nvd3dum.dll
Report Id: 4b955482-4694-11e3-b6ef-d43d7ebf74ca