BSOD Frequently while gaming or watching videos

Yes it was down to your GPU.

Code:

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*                        Bugcheck Analysis                                    *
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Use !analyze -v to get detailed debugging information.

BugCheck 3B, {80000003, fffff88004971b7f, fffff88008966110, 0}

*** WARNING: Unable to verify timestamp for nvlddmkm.sys
*** ERROR: Module load completed but symbols could not be loaded for nvlddmkm.sys
Probably caused by : nvlddmkm.sys ( nvlddmkm+c9b7f )

I'd highly recommend following Greg's advice sooner rather than later.

It's possible Greg, I certainly wouldn't go as far as saying it's not. Normally when I recommend nVidia driver updates I ask people to follow NVIDIA Drivers - Avoid Problems for the cleanest possible install, only the graphics driver and PhysX driver are completely necessary and it's the best way of installing, especially when trying to resolve BSOD issues.
Having said that, I don't think I've ever personally seen nvlddmkm.sys be anything other than the GPU driver itself. I don't know if, say, GeForce Experience or nVidia Control Panel for example will use the same driver or have their own individual drivers. I've seen separate drivers for other nVidia applications so that may be the case but I can't make a 100% certain claim.

In the case of the 0x3B the OP received it's basically blaming the driver for passing bad code from User Mode to Kernel Mode, hence the bugcheck. If the OP had installed the driver as instructed in post #7 that would only leave the PhysX driver or graphics driver itself as possible culprits.

You're spot on Greg, bloatware has been the cause of many a BSOD and it's never wise to discount it and always wise to question it. Take this one as a case in point, a 0x124 (almost always a hardware error) caused by Gigabyte bloatware.

BSOD while watching videos online

Sidaithe said:

So I should be good as long as I do a better clean boot using those instructions and install my gpu using NVIDIA Drivers - Avoid Problems that?

Yes, follow those tutorials to the letter for the best possible install for both Windows and your GPU drivers.

   Information

Be sure you follow Greg's instructions to sort your drive issues out first before reinstalling Windows.

Sidaithe said:

Thanks for the replies guys. And sorry for not responding for a day. I didn't get an email telling me people responded to the post. So I just assumed there hadn't been any responses yet. Turns out there was a ton. Good thing I checked.

Not a problem.

Sidaithe said:

Also, about the general software recommendations? What do you recommend?

Give me a while and I'll detail my personal routine preventative maintenance schedule. That will be my recommendation, Greg may possibly also add some of his recommendations.

Sidaithe said:

And my gpu is pretty dated. Should I upgrade regardless of this problem being fixed or is it still good for now? For general gaming/3D animation and possibly some streaming.

If the GPU is causing issues and/or holding you back performance wise then it would be a good idea to upgrade.

Possibly. I think the Double Fault STOP listed in post #7 was pointing towards the graphics card but we need to either prove it or rule it out. Given what happened with your Windows install I'm not ruling anything out at the moment so once your disk issues are corrected and Windows and your GPU driver has been reinstalled afresh we'll have a much better platform to work with.