At the beginning of the fight with Rodeon, you can briefly see a number on the side of the train: 4622. That number has been used as a password for maximum item stock in a variety of games, including Bomberman GB, Super Bomberman 3, 4, and plenty more!
The logo has been translated, and the year of copyright updated. The music track has also been changed to replace the Japanese voice-over.
Also, the title reveals itself slightly differently between regions. When shedding its rocky layer, the Japanese logo's debris slides off. The English logo's rock shatters into pieces.
The Hudson screen is absent from the English start-up sequence. After choosing the method of saving, it cuts straight to the intro movie.
Four copies of this are found among the item graphics. It reads "suka" (スカ), which can mean "nonsense" or "lose". A filler graphic, surely.
Master Game's Bomberman has the same number of sprites as all the other characters... even the ones for riding a Tirra!
He even has the disembodied head (not pictured) for riding in the Battle Game's Revenge cart! They have extremely minor differences from the normal White Bomberman graphics; we're talking one-pixel differences here.