BSOD when watching flash videos (error code changes?)

When a simpler than the simplest thing that works for everybody but not for you, there is some severe issue.

And, if you cannot execute MSINFO32 file only, I doubt that you will not be able to do the other steps of the troubleshooting. Those are even harder.

You can try a Clean Install Windows 7.

You just have to export it. File > Export. The extension will be detected by itself.

Got it in the first page. That file will help us a lot to match with your issues.

The HD4 is an external HDD. Better you disconnect that one for the troubleshooting time.

You are getting stop 0x3B BSODs (one crash dump is giving wrong symbols, and one screenshot). It is mostly caused by Device Drivers (specially graphics drivers) and/or RAM.

As you are on memtest now, I am assuming that you already have done the uninstallations etc suggested earlier. I want to add two more things there in my suggestion.

First, you should use a WHQL display driver. Your driver says ....

Code:

Driver Version: 13.250.18.0

That means you are using AMD Catalyst 13.11 Beta 9.2(13.250.18.0 November 7) driver. Uninstall it following Drivers - Clean Left over Files after Uninstalling and then install 13.9 WHQL only, from Latest AMD Catalyst Video Driver for Windows 7.

And, can you let Hamachi go, for the time being, for this reason?

Code:

Name    LogMeIn Mirror Driver    
PNP Device ID    ROOT\DISPLAY\0000    
Adapter Type    Not Available, LogMeIn, Inc. compatible    
Adapter Description    LogMeIn Mirror Driver    
Adapter RAM    Not Available    
Installed Drivers    Not Available    
Driver Version    7.1.542.0    
INF File    lmimirr.inf (lmimirr section)    
Color Planes    Not Available    
Color Table Entries    4294967296    
Resolution    1920 x 1080 x 60 hertz    
Bits/Pixel    32    
Driver    c:\windows\system32\drivers\lmimirr.sys (2.50.0.596, 11.28 KB (11,552 bytes), 6/8/2012 12:05 PM)

It installs a display driver, which we will need to avoid right now.

As we have lack of data (no executable crash dump), we are trying to find the issue based on the bugcheck code, and so it is becoming lengthy

Unfortunately that crash dump is not giving any more information other than it is a stop 0x3B.

About the HDD ... from your event logs ....

Code:

Event[33681]:
  Log Name: System
  Source: Disk
  Date: 2013-09-03T08:24:55.044
  Event ID: 11
  Task: N/A
  Level: Error
  Opcode: N/A
  Keyword: Classic
  User: N/A
  User Name: N/A
  Computer: Ryan-Desktop
  Description: 
The driver detected a controller error on \Device\Harddisk4\DR4.

You use the WHQL 13.4 display driver, which is stable itself. It never caused any issue on itself.

What is the result of the memtest?

Good to know the results of the memtest.

As you have said that you had issues with 13.9 driver, better you try 13.4.