I'm also getting random crashes.
After one of them my system said it was a bluescreen error (I never see a blue screen, just everything freezes)

Problem signature:
Problem Event Name: BlueScreen
OS Version: 6.1.7601.2.1.0.256.48
Locale ID: 2057

Additional information about the problem:
BCCode: 117
BCP1: FFFFFA800A0204E0
BCP2: FFFFF880033BBE30
BCP3: 0000000000000000
BCP4: 0000000000000000
OS Version: 6_1_7601
Service Pack: 1_0
Product: 256_1

Files that help describe the problem:
C:\Windows\Minidump\082813-35505-01.dmp
C:\Users\Ian\AppData\Local\Temp\WER-487471-0.sysdata.xml

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C:\Windows\system32\en-US\erofflps.txt
I checked the event manager log thing and noticed a bunch of these errors. Dunno if they are related or not:

The description for Event ID 1 from source NvStreamSvc cannot be found. Either the component that raises this event is not installed on your local computer or the installation is corrupted. You can install or repair the component on the local computer.

If the event originated on another computer, the display information had to be saved with the event.

The following information was included with the event:

NvStreamSvc
NvVAD endpoint registered successfully [0]

Seem to be showing up before I had the problem with FFXIV though but are showing up roughly when I'm playing FFXIV and having a problem (could just be coincidence)

System:
Intel i7 920 2.67GHz overclocked to 3.5GHz
NVIDIA GTX285
6GB RAM

Having no problems with any other game or program on my system (well, Firefox isn't playing youtube video sound but It's probably a plugin issue). FFXIV is the only one that leads my system to crash at random times. Seems to only happen when it is the focused window and seems less likely to happen if I regularly focus on another window though not always.