Random BSOD when browsing the internet

Your system is outdated and you are running an ASUS Product ID (PID) on a Gigabyte board.
This makes your installation counterfeit.
Troubleshooting a counterfeit installation is useless as it is not known what has been modified to your system.
A counterfeit installation contains heavily modified code which causes the system to behave in unexpected ways.
For this reason, analyzing counterfeit systems is unreliable and most analysts won't try it.

Code:

OS Name:                   Microsoft Windows 7 Ultimate 
OS Version:                6.1.7600 N/A Build 7600 // should be 7601
OS Manufacturer:           Microsoft Corporation
OS Configuration:          Standalone Workstation
OS Build Type:             Multiprocessor Free
Registered Owner:          Chris
Registered Organization:   
Product ID:                00426-OEM-8992662-00173 <-- ASUS PID on Gigabyte board
Original Install Date:     28/1/2015, 2:11:15 PM
System Boot Time:          21/2/2016, 9:10:04 PM
System Manufacturer:       Gigabyte Technology Co., Ltd.

Hotfix(s):                 12 Hotfix(s) Installed. // Should be a few 100

I recommend to install a genuine copy of Windows.
If, after you have installed a genuine copy of Windows, you still get BSOD's we'll be happy to assist you.