Talented modder Robert Prest spent about 3 weeks trying to replicate No Man’s Sky as a Doom mod based on what he saw in the trailer. He basically made it from scratch but used some code from “DoomZ” a Day Z based Doom mod he is also currently working on.
The mod features interplanetary travel and similar dynamics to No Man’s Sky. You are heading towards the center of the galaxy, and everything is procedurally generated, even the creatures.
He documented the gameplay in a fantastic video here.
He even made the mod available for download here.