BSOD seems random

I have been getting several BSOD's over the last week or so. Sometimes when i am playing black flag, Shadows of mordor or skyrim but they will even happen when my computer is siting idle.

Windows 7 Home x64
Intel i5 3.2 ghz
16g Ram
2 AMD Radeon HD 5670 1G with Crossfire

Welcome to 7F. You mention you've been getting several BSODs yet there is only one dump file in your logs (dated today), I've included information on that below but it's possible there may be more issues that haven't been captured in previous logs.
Perform the steps outlined below and test your system, and if you get any more subsequent BSODs post up new logs for analysis.

Your single log is blaming your Realtek Gigabit Ethernet driver, it's very old and needs updating. Check here for an updated version or on the Alienware support page for your model.

Code:

fffff880`033a7a68  fffff880`0f20543dUnable to load image \SystemRoot\system32\DRIVERS\Rt64win7.sys, Win32 error 0n2
*** WARNING: Unable to verify timestamp for Rt64win7.sys
*** ERROR: Module load completed but symbols could not be loaded for Rt64win7.sys
 Rt64win7+0x543d

0: kd> lmvm Rt64win7
start             end                 module name
fffff880`0f200000 fffff880`0f232000   Rt64win7 T (no symbols)           
    Loaded symbol image file: Rt64win7.sys
    Image path: \SystemRoot\system32\DRIVERS\Rt64win7.sys
    Image name: Rt64win7.sys
    Timestamp:        Thu Feb 26 09:04:13 2009 (49A65B0D)
    CheckSum:         0002EB30
    ImageSize:        00032000
    Translations:     0000.04b0 0000.04e4 0409.04b0 0409.04e4

You're welcome. If you do get any more BSODs make sure not to use CCleaner and upload any new logs for analysis.