Windows 7 Random BSOD

Hi,
Bugcheck 124 means you suffered a hardware failure, a machine check exception to be more precise.
There most common reason for MCE events to occur are:

• Memory errors or Error Correction Code (ECC) problems
• Inadequate cooling / processor over-heating
• System bus errors
• Cache errors in the processor or hardware

The symptoms you describe above when gaming sound like a classic overheating system issue but there are also other things which can cause those types of symptoms too. Basically you'll have to do a little checking to see where the issue may lay.
Do you actually monitor your temperatures at all? It's always a good idea to have at least a rough idea on how cool or hot your system runs. This application is pretty good at what it does:
http://www.cpuid.com/softwares/hwmonitor.html
Monitor your temps when the cpu is idle and when at 100% (usually gaming)
The above should also cover the GPU too.
Download a copy of Prime95 and test your CPU. Watch your temps! When you start Prime95 up just hit 'just stress testing' when asked and run the default test.

Check your GPU's memory with this app:
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Run a chkdsk on the HDD making sure you tick any boxes to find and repair sectors:
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I also noted the age of your drivers.
Please update the audio and network using the driver downloads here:
http://uk.msi.com/support/mb/760GMP23_FX.html#down-driver&Win8 64
These drivers are for win7/8

Update your Broadcom drivers:
http://www.broadcom.com/support/ethernet_nic/downloaddrivers.php

If after making the above changes you still get the bsod then you need to test your RAM.
Windows does have it's own memory testing app but it can often miss errors and the best app for the job is Memtest86. The latest version of which can be found here:
http://www.memtest.org/

To run Memtest86 you need to either burn a copy of it to disk or use a USB stick. If you look down the page you'll eventually find the latest version and it's associated downloads. If your burning to disk choose the pre-compiled iso zip. If your using a USB method then the corresponding download is the auto installer for a USB stick.
Once you have Memtest86 on the media you selected you'll then need to enter your bios and change the boot order so that the machine will boot from either the disk or stick you have Memtest86 on.
Run the test for 12hrs at least unless it becomes clear that there is a issue. If there is a problem with the RAM you'll see the errors pop up in red so you can't miss them.

I have monitored the temps and they were around 30C-40C for the Processor, and about the same for the video card. I think heating can be out of the question. Most of the BSODs have happened while just browsing the internet or just watching media or chatting. As for gaming, I keep the settings around medium (don't want to stress the components). As for the drivers, I don't know what to say. I've checked the manufacturer link again for the audio and network, and there are no newer drivers.
I will do all the checkings you suggested and come back with the results. Thanks for the quick answer!

Hi Screwie,
apologies as i forgot to mention something earlier. The above error can also appear from Bios incompatibilities and looking at your current Bios I see it's at v17.2. The latest version stands at v17.15 and includes updates for stability.
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I'll try it in a bit, maybe that will also increase the chances of solving this. Thanks again!!

I am back now, sorry for the long delay. I've ran all the above mentioned tests and I've had 0 errors on each. I've monitored the temperatures, and except the CPU stress rising it to 50+C, the other kept my system cool (around 30-30+ C). Yesterday I've had two BSODs occur at 3 minutes interval when I was just randomly doing stuff. Could there be an incompatibilty between mainboard and video card ?
I forgot to add, I've successfully updated the BIOS to the latest v.(17.15) when you suggested.

Do you have those dump files Screwie? If so please post.

Wow... Sorry to hear that. Thanks for updating as this always helps to know the outcome of any issue. Best of luck with the new parts.