BSOD playing League of Legends

Try updating your display driver to the latest version.

Code:

8fe0f000 906e2000   nvlddmkm T (no symbols)           
    Loaded symbol image file: nvlddmkm.sys
    Image path: \SystemRoot\system32\DRIVERS\nvlddmkm.sys
    Image name: nvlddmkm.sys
    Timestamp:        Fri Jun 21 10:03:10 2013 (51C416CE)
    CheckSum:         008A7D0D
    ImageSize:        008D3000
    Translations:     0000.04b0 0000.04e4 0409.04b0 0409.04e4

Stress test your graphics card with Furmark

I recommend running it for around 30 minutes

   Warning

Furmark will increase the temperature of your GPU rapidly so keep and eye on your temperatures

I updated my nvidia drivers.

I also ran furmark, after about 25 mins my GPU was at 87 degrees, then when I ALT + ESC to stop it, display turned black. I've succesfully restarted my pc though. A dump file was also created curiously, I uploaded it to my reply. Thanks

bumpppp

You have had a 0x116 bugcheck which indicates that an attempt to reset the display driver within the allocated time interval has failed to respond which has caused the system to bugcheck.

Code:

BugCheck 116, {88cb72b8, 90a29524, c000009a, 4}

Unable to load image \SystemRoot\system32\DRIVERS\nvlddmkm.sys, Win32 error 0n2
*** WARNING: Unable to verify timestamp for nvlddmkm.sys
*** ERROR: Module load completed but symbols could not be loaded for nvlddmkm.sys
Probably caused by : nvlddmkm.sys ( nvlddmkm+81b524 )

Code:

1: kd> u nvlddmkm+81b524
nvlddmkm+0x81b524:
90a29524 55              push    ebp

The push command shows that data has been added onto the stack from the ebp register.

Code:

1: kd> !error c000009a
Error code: (NTSTATUS) 0xc000009a (3221225626) - Insufficient system resources exist to complete the API.

I noticed that it the system ran out of resources, this is probably why the screen went black.
rolling back your display driver should fix the problem.

Roll back your display driver to WHQL 314.22 as it's the most stable driver.

   Warning

The driver download link posted previously is based on your system specs, it's for an Nvidia Geforce GT 430 on Windows Vista 32bit.
Only download the driver if this matches your current system!

I advise following these instructions as they are very good.