Ciphering memtest86 results

this look like your memory need to be rma for error .

Consider just using 2 x 4gb of ram and see if the PC boots up without errors. 8gb is more than enough for more than 75% of the population so unless you are doing intensive cpu work, video editing, movie-making or programming the the nth degree, better to just use the 8gb of ram.

What game are you playing, do the psecifiactions match your OS?
Older 32 bit games do tend to require certain hardware and OS requiremnts.

A Bsod during a PC game is quite odd, it might refer to lack of free space (you need a minimum of 25%) or that your hard drive is failing and is not allowing temp files to increase past a certain size. If you play single player mode, save every five minutes or so, so that the temp file storage size is not so large per saved game.

What model number, speed ram are you using, iis it overclocked?
" 4x4 ddr3 corsair vengeance"
Is the ram new or from another Pc that might have been faulty?
What is your motherboard brand, model number?
What brand model numer is your PSU, video card, are you using more than one hard drive?
Is the game installed on the OS drive (partition) or if you have another hdd, is it installed there?

PS -whenever you ask a Questions, it is best to always give all your hardware specs, the answer just mght be a low powered PSU or the wrong type od ram or mixed brands. It could also be a recent driver update to a BETA version or an actual incorrect version for your video card (if you actually use one or two)

Rosewill 650W CAPSTONE-650 seems to appear to be a good PSU but there are mixed reviews for it. It could be that your PSU is not doing its duty and is not providing adequate power resources fror the ram or some other hardware.

It could still be a ram problem (as well as the PSU), if possible try a different PSU if you can get one.

Ram usually comes in pairs, kit of 2 (or triples for a triple slot motherboard) so it might be that you have mixed the ram modules from their matched pairs.

Try playing a different game that is more recent other than StarCraft, even a single player game.

Have you overclocked the ram? the cpu, the video card? There was mention in your specs of OC for the cpu. "PROSS: Intel i5 3570k OC @3.9Ghz"

Running out of ideas, you might have to actually go buy a new pair of ram, at least you willl have spares if the ram is not the problem ...

Biostar doesn't seem to list your motherboard, at least not in their keyword search option, I'm referring to a diferent site for your motherboard specs (there are not many availalbe)
http://www.pt1t.eu/?p=536
Biostar TZ77XE3 :
Supports the Intel 22nm next generation Core i7 and Core i5 LGA 1155 processors.
Intel z77 single chipset architecture
Support 4 Dimm DDR3 from 1333 up to 2666(oc) and up to 32Go.
Support ATI CrossfireX and Nvidia SLI technology.
Video output : VGA, DVI, HDMI.
Quad USB 3.0 (2 front, 2 rear).
Support SATA 6GB/s 2X , SATA 3GB/s 4X.
Intel Smart Response technology.
Support PCIe 3.0.
Lucid Virtu MVP optimized GPU and discrete GPU’s performance.
THX (Trustudio Pro) technology for the audio studio performance.
100% X.D.C Solid capacitor.

EVGA gtx 570 012-P3-1577-KR
http://www.evga.com/articles/00596/
Bus PCI-E 2.0

The bus interface for your motherboard is version 3.0, the video card is only 2.0 so there might be a minor problem in that area. Yes, they all say things about backward compatiblity or the 3.0 version is not much difference but I still think that if you are going to have a highend motherboard, you should have a video card to match its specifications.

May I suggest that you test your ram using the onboard video out option rather than the use of the video card for display puposes..remove the video card from the PC.