Thanks to someone sharing a GIF on Twitter (I can't remember who for the life of me) but I learned of an anime called Bug-tte Honey. Basically, some kids get sucked into their Adventure Island video game and wackiness ensues. They meet Master Higgins and the whole shabang.
Here's a taste!
Now as you can imagine, being Hudson and all, Bomberman makes an appearance several times. There are even many instances of sound effects and jingles being used from Bomberman for NES. The pack I'm including below features all physical cameos as well as a few of the sound effect moments.
Please note that I skimmed this series and did not watch it entirely so if anyone finds anything I missed then please feel free to share. Someone was kind enough to rip the entire show from DVDs and upload them to dailymotion. One or two episodes are missing, presumably due to copyright takedowns, and the show has no English subtitles, but it's fun to gloss over for the heck of it.