Multiple BSODs, mainly around ntoskrnl.exe and more

TL;DR check my dump files, pretty please. I am at a loss. Attachment 186811

Hello,

I've been at this for quite some time. I'd consider myself computer savvy but never have I ever encountered something like this.

RAM tested - ok
GPU tested - ok
All manners of stability testing (PRIME95, FurMark, HeavyLoad etc.) - system runs just fine.

These BSODs are always completely random, one minute I am playing a game, the second I am just browsin the interwebs and it happens.

Did this Driver Verifier thingy in cmd, it caused about half the crashes, managed to narrow it down to Microsoft drivers only (selected only Microsoft drivers and it only crashed testing them) - all of these came up with
SYSTEM_THREAD_EXCEPTION_NOT_HANDLED
one was IRQL_NOT_LESS_OR_EQUAL
all of them refferencing ntoskrnl.exe

Some of these BSODs refference HIDs, and I have been having a problem with my keyboard on my previous W install, it disconnected randomly etc. On current install, it sometimes does not load the basic drivers when booting, especially when W is shutdown unexpectedly (plugging in/out solves this, got GIGABYTE Force K85).

Note though, that the crashes weren't happening on my previous W install, so I think it should be a driver of sorts causing all this.