As far as i know there's only a EE for the console, it was released nearly a year after the PC-Version.

Release Info:
"The Enhanced Edition offers a graphical quality level comparable with the "Ultra" settings on the original PC release of Risen 3: Titan Lords and even surpasses this originals visuals in a number of areas: with higher resolution textures across the board, the introduction of new state of the art post-process effects such as bokeh depth-of-field and HDR bloom, and an all-new volumetric cloud system that adds even more spectacular skies and sunsets to Risen 3’s dynamic day/night cycles.

The Risen 3: Titan Lords – Enhanced Edition for PS4 also includes all updates as well as additional content released to date, including the “Adventure Garb”, “Fog Island”, and “Uprising of the Little Guys” DLCs. The PlayStation®4 features Remote Play, Streaming, Recording and Share Play are also supported. "

The PC-version still had a number of nasty performance&graphik-problems/bugs and selling a fixed version+64bitupgrade would make quite a number of people really unhappy :)...so it was released as a patch
for the PC. It was mostly a Patch that fixed several problems(lags, stutter,performance drops ...) together with a upgrade to make 64bit usable&offer more resolutions. A bit later people started to call the complete Edition the EE Edition because it had all content and had the patches/upgrades=similar to the new console EE-Console-release.


Edit:
Gog normally patch the game to final version, so all version should inculde the 64bit&resolution upgrade.
The complete Edition include all Adon/DLC-content and is therefor similar to the PS4-EE-Edition.