As you might know, there is an
old video back from 2011 of Doom being played on a PB360+. In fact, it was the PB guys who adapted PrBoom for PB during a lunch break (
original message from the-ebook forum archived). I believe they did not release the game, only the short video.
We did something similar and called it PBDoom. You can download it from
the project's website. The source code is available on
GitHub.
Please note that to play the game you would need the WAD files.
P.S. Currently we are preparing a new release with reworked touch-oriented controls. You can grab the development version and see the discussion in the
related issue. Everyone is very welcome to participate there or on this forum.