@Slayer Hank
I exported the game models, reimported them into Maya, re-rigged them very shoddily and posed everything over a background image of the Doom PS1 cover. I rebuilt the background with some simple shapes and slapped on a few textures from Zortch that came close to the original image. I rendered every object as a separate layer, reassembled everything in Photoshop and roughly painted over it by hand, including the lighting, fog, torches, tracers and so on.
I did these very quickly, in around 40 minutes. I guess with more time and care it would come out better.

If you want to export models yourself, here in this thread you'll find Hans Schmucker's model converter for Zortch (post #26):
https://steamcommunity.com/app/2443360/discussions/0/3825298731234927993/?ctp=2

Sorry for the lengthy reply.

How did you make this?