Windows 7: BSOD at seemingly random intervals

Mathias11, Have you taken the disk check suggested earlier?

1. Make it sure that Storage Controller is set to AHCI in BIOS.
2. Reseat the sata and power.
3. Run chkdsk /f/r, following the option two of the tutorial Disk Check
4. Seatool for dos: SeaTools | Seagate download
   Burn it in a blank cd. boot from the CD, click on "Accept", wait for it to finish detecting the drives, then in the upper left corner select "Basic Tests", then select "Long Test" and let it run.
5. If you are using a SSD, update the firmware.

It is not anything like Page files or improper service packs etc.

I have done the chkdsk, but not with storage controller in AHCI, etc. I can't do that on my laptop either since the BIOS is pretty well locked down. I'll have to do that when I get home to my desktop on wednesday.
From what I read, chkdsk doesn't do anything for SSD's either since the firmware takes care of not using worn out bits etc. But I'll run the chkdsk on both disks plugged in to my desktop when I get home on wednesday.

So, I'll be back with more updates then.