Bomberman is a Bomberman title for the TurboGrafx-16. Despite its name, it is not a port or remake of the original Bomberman, and is in fact, an entirely different game in the series.
Bomberman was the first game in the series to appear on the TurboGrafx-16 system. It was followed by Bomberman '93 and Bomberman '94.
Source: Wikipedia, Bomberman %28TG-16%29 , available under the CC-BY-SA License.