I have been getting randoms BSoDs recently and they are becoming more frequent. 
The error is always different but it has something to do with memory corruption. Bsods are totally random. Can happen while the computer is idle and while it's doing something CPU/Ram intensive. Can happen after 15 mins and after 8+ hours.

I did a RAM test and it returned no errors on both sticks.

I also ran the driver verifier tool and it caused Windows to crash on boot. It made no logs so I was unable to determine which driver was causing it.

OS: Windows 7 Home Premium 64bit  

CPU: AMD A8-5500  

RAM: Kingston HyperX 1600Mhz 4GB + 8GB  

GPU: Radeon HD 7750

25 Oct - Added a 8GB RAM stick. I had one with 4GB before. This one is the same model just with 8GB.
29 Oct - Halved the amount of virtual memory.  

30 Oct - Installed AMD overdrive and did some overclocking. After a couple of days, I restored everything and uninstalled it but bsods continued.  

30 Oct - First Bsod.  

5 Nov - Second Bsod.  

5 Nov - RAM test. No errors.  

5 Nov - Driver verifier. Failed to boot.  

10 Nov - Third Bsod  

15 Nov - 2 more bsods  

16 Nov - 2 more bsods

The erros:  

KMODE\_EXCEPTION\_NOT\_HANDLED  

UNEXPECTED\_KERNEL\_MODE\_TRAP  

ATTEMPTED\_WRITE\_TO\_READONLY\_MEMORY  

CRITICAL\_STRUCTURE\_CORRUPTION x2  

MEMORY\_MANAGEMENT  

PAGE\_FAULT\_IN\_NONPAGED\_AREA 

Minidumps: <http://www.mediafire.com/download/k63wmtd7tdg9sru/minidumps.zip>