I'm curious if anybody else have this problem, because for me, this is something I've encountered with Unreal Tournament GOTY too (even though it was much less frequent, and much more random with UT):

Every time I launch the game, after 1-2 minutes my screen starts glitching and then I get the blue screen of death, forcing me to restart my PC. This is something that happens every time and so far I was unable to find a solution to this problem (thus making the game completely unplayable for me). What's even more interesting, is that I had the - more or less - same problem with the GoG version of Unreal Tournament. With that title, the screen glitching and the BSOD came randomly, sometimes after 5 minutes of playing, sometimes I could play for 1-2 hours without it ever happening.

Now I don't know if there is a connection between these two games that causes my computer to crash, or it's just a coincidence but any help/tip about what could cause this would be greatly appreciated.

No game should cause BSOD, unless there's an underlying hardware problem or you're dealing with a buggy driver for one of your hardware components.

Updating drivers, especially those for graphics cards and testing memory with MemTest86 first come to mind. Another program that could reveal hardware issues is Prime95.

Thank your for the tip! I was almost positive that it was my hardware but seeing that only these two games caused this made me doubt myself. I'll definitely try out what you've advised.