Doom 3 has been ported to the Nintendo Switch by fgsfdsfgs
Initial Switch release. More of a PoC than an actual playable port.
Default graphics settings in the supplied dhewm.cfg are: shadows disabled, detail level set to "Medium".
Installation
Unzip dhewm3nx_v010.zip to the root of your SD card.
Copy over pak000.pk4 through pak008.pk4 from your PC Doom 3 installation's base folder to /switch/dhewm3/base/. Make sure the game is patched to the latest version (1.3.1). The Steam version is already patched. Doom 3 BFG files won't work.
You can now run the game using the NSP version of Homebrew Menu. It will run in applet mode using the Album HBMenu, but loading any map except the test box will make it run out of memory and crash.