Windows 7 BSOD When playing Games or When computer is left on for long time.

Hello and welcome to the forums.
First make sure your machine is configured properly to facilitate the collection of .dmp files.

Go to Start and type in sysdm.cpl and press Enter
Click on the Advanced tab
Click on the Startup and Recovery Settings button
Ensure that Automatically restart is unchecked
Under the Write Debugging Information header select Small memory dump (256 kB) in the dropdown box
Ensure that the Small Dump Directory is listed as %systemroot%\Minidump << where your .dmp files can be found later
Click OK twice to exit the dialogs, then reboot for the changes to take effect.

Click to expand...

Then:
Please read the first post in this sticky thread here Link Removed
Do your best to accumulate the data required.
Run the SF Diagnostic tool (download and right click the executable and choose run as administrator)
Download and run CPUz. Use the Windows snipping tool to gather images from all tabs including all slots populated with memory under the SPD tab.
Likewise RAMMon. Export the html report, put everything into a desktop folder that you've created for this purpose, zip it up and attach it to your next post (right click it and choose send to, compressed (zipped) folder.
Additionally, if you haven’t already, please take some time and fill out your system specs in your forum profile area Link Removed .
You have two instances of
AODDriver2.sys 12/19/2011
and
AODDriver2.sys 1/16/2012 normally associated with Easy Tune for Gigabyte Motherboards, which is a bit confusing since you also have
BIOS64.sys 6/7/2003
and
BS_TPIO64.sys 4/29/2009 both normally associated with BioStar motherboards. I would suggest addressing both these issues to the best of your ability, uninstall or update or as a last resort, rename the .sys file extension to .OLD.
Good luck
Randy