Hello Avve,
Thank you for visiting Microsoft Community Forum.
As per the issue description, I understand that you get BSOD error code 0x0000003b SYSTEM-SERVICE-EXCEPTION while turning off your Windows 7 computer.
The dump file logs shows: Caused by Driver: fltmgr.sys
This issue occurs because of an error in the Microsoft IEEE 1394 driver stack, in which the buffer that is allocated to the driver stack does not initialize correctly.
A support hotfix is available for this issue. I would suggest you to download and run the following hotfix and check if that solves the problem.
Stop error code 0x0000003B (SYSTEM_SERVICE_EXCEPTION) on a computer that is running Windows 7 or Windows Server 2008 R2 when you use some IEEE 1394 devices
http://support.microsoft.com/kb/980932
Hope this helps. Please let us know the results. Feel free to write us back for any further assistance, we’ll be glad to assist you.