No, sorry, flight sims don't count. Flight sims in 1993 were either one awful ground texture with 1-2 objects on the screen (or in the case of X-Wing no ground textures). Some were good games, but not even remotely similar.
Beyrayal at Krondor used 1/2 the screen, could do maybe 1-2 FPS max in the world with *turn* based combat, and the graphics were awful compared to DOOM (though it was a fun game, just not competitive in gfx).
UU/UUII has been discussed already, they used 1/3 size screen and had single digit frame rates anyway. Felt very claustrophobic, really. But again great games, just not FPS. With FPS it is and always has been about the full screen immersive experience and the frame rate.
And AFAIK 3DO didn't have any decent 3D games in 1993. Later they did, and one of the better ones was - wait for it - DOOM (unfortunately in using real 3D effects it sacrificed one of its biggest strengths over the other games at the time - frame rate...)
I said *superior*, and - graphics wise - none of those came close.