Windows 7: BSOD while idling/under minimal load or gaming

I finished my new system build about a week ago, and for so long I've been getting these annoying BSODs and freezes. They can happen under load or they happen during idle/during opening browser. Sometimes my system won't go to bluescreen, but it freezes completely. I've tried pretty much everything in the BIOS (even defaults), no good. Sometimes my system can be stable for hours, sometimes crash follows another. Currently I even dropped my memory clocks below specified values (i.e. slowed them down). BIOS is updated to the latest version.

While Asus GPU Tweak was installed, I got many more freezes, so I uninstalled that. Windows own memory check found nothing (I know, I should run memtest86+ for countless hours to make sure no memory problems).
Also Intel's built-in graphics is currently disabled, because I suspected it might be part of the problem. During freezing Aero sometimes switches off, display goes black for a second etc. Those things lead me to believe that Intel HD Graphics 4000 might be the reason.

- x86 (32-bit) or x64 ? x64
- an OEM or full retail version? OEM, Windows 7 Home Premium, version: 6.1.7601 Service Pack 1 build 7601
- What is the age of system (hardware)? see my system specs
- What is the age of OS installation? One week old installation

I have zero ideas what to try next but to reinstall or start eating my MOBO
Thanks in advance if someone cares to take a look at my memory dumbs.

You should take care of these first:You do not have your Intel Chipset drivers installed which by itself can cause crashes. You also have not installed the drivers for you onboard video graphics. You should install them, and then disable the onboard video device in device manager if you do not intend to use it.

ASRock > Products > Motherboard > Z77 Extreme4 > Download

• Intel Management Engine driver
• VGA driver

Thanks for your advices. Intel Management Engine driver has been in my system since day one. Actually it might have been the first piece of software installed after windows. Just to make sure, I recently uninstalled and re-installed it, no change to the SM Bus Controller error in device manager.
Video controller error was solved right after my original post by installing the Intel VGA driver. That might have helped, no more crashes after I did that particular install. At first I thought that a disabled device can't cause any problems. Decided to give it a try right after realizing it to be the only thing i hadn't tried out. But anyway thanks for your time.

The SM Bus Controller is Intel based, so one of your Intel drivers is not installed. A Google search pointed to the Chipset drivers, so I thought that was most likely. Try the other four Intel drivers and see if any help.

Glad to see the system is running more stable, at least.

Sorry, my bad totally. In the real world I hadn't even installed Intel's chipset drivers. On ASRock support page they were named: INF driver ver:9.3.0.1019. So no words about Intel on that one. I just thought the Management utility would have the chipset drivers in it. Obviously SM Bus Controller error was no more after installing those drivers.

But after installing I got two bluescreens in a very rapid time frame (no bluescreens in extensive use today before that). And yes, it's still ntoskrnl.exe going down. Which leads me to believe there is still something totally wrong in my system. Should I just run memtest86+ overnight and downclock my CPU? Because that's what I'm thinking right now. System health report and the newest memory dumps included in my post. I would like to thank you again.

No need to underclock. Crashes indicate hard disk and/or SSD problems. Is your SSD firmware up to date? What about the Intel Rapid Storage Technology driver?

This could mean hard disk corruption, bad sectors, a failing hard disk, Windows files or registry corruption, viruses, or memory problems.

• If you are overclocking any hardware, please stop.
  
  
• Run Disk Check with both boxes checked for all HDDs and with Automatically fix file system errors checked for all SSDs. Post back your logs for the checks after finding them using Check Disk (chkdsk) - Read Event Viewer Log.
  For any drives that do not give the message:
  Windows has checked the file system and found no problems
  run disk check again as above. In other words, if it says:
  Windows has made corrections to the file system
  after running the disk check, run the disk check again.
  
  
• Run the short and long tests with SeaTools on your HDDs, not on SSDs.

  SeaTools for Windows
  
  SeaTools for DOS

• Check Windows for corruption. Run SFC /SCANNOW Command - System File Checker up to three times to fix all errors with a restart in between each. Post back if it continues to show errors after a fourth run or if the first run comes back with no integrity violations. Use OPTION THREE of SFC /SCANNOW Command - System File Checker to provide us with the sfcdetails.txt file if errors occur.
  
  
• Download and install Malwarebytes, update it, do not start the free trial, and then run a full scan. Also run a full scan with your antivirus software installed on your system. If you do not have antivirus software installed, see the Good and Free system security combination. for better security steps and scanning tools. Make sure to update the security software before running the full scan.
  
  
• Run the boot version of Memtest86+ paying close attention to Parts 2 and 3 of the tutorial. Also, in case Memtest86+ misses anything and comes up with no errors, run the extended version of the Windows Memory Diagnostics Tool for at least five passes. These you may want to run overnight since they take a long time to complete (run them an hour before bed each of the next two nights and check before going to sleep that they are still running).
  
     Warning

  Before you proceed with the following, answer these two questions: Are you still under warranty? Does your warranty allow you to open up the machine to check hardware? If you are unsure of the answers to these questions, contact your system manufacturer. WARNING: The steps that follow can void your warranty!!!
  
  For Part 3: If You Have Errors: If you swap any memory components, follow these steps for ESD safety:
  1. Shut down and turn off your computer.
  2. Unplug all power supplies to the computer (AC Power then battery for laptops, AC power for desktops)
  3. Hold down the power button for 30 seconds to close the circuit and ensure all power drains from components.
  4. Make sure you are grounded by using proper grounding techniques, i.e. work on an anti-static workbench, anti-static desk, or an anti-static pad. Hold something metallic while touching it to the anti-static surface, or use an anti-static wristband to attach to the anti-static material while working. If you do not have an anti-static workbench, desk, or pad, you can use your computer tower/case by finding a metal hold in it, such as a drive bay.
  Once these steps have been followed, it is safe to remove and replace components within your computer.