critor has worked on the original port of nDOOM by Mraklopaz to adapt it for TI-Nspire CX and its nice color screen (credits to Adriweb for the demo).
Ndless 3 will of course be required to run it. There are still some issues to be fixed before the (unplanned) release of Ndless.
As Lionel Debroux points out, native programs are currently mainly games and emulators, because being quite independent of the underlying OS. I hope to see soon a broader choice of programs, such as utilities and science programs, thanks to the possible bridge with the Lua features of OS 3.x. It would hopefully allow to write native Lua extensions, and embed Lua scripts in Ndless programs.