I used to know the answer to this... I've forgotten the differences and how the games relate between Mega Drive, SFC, and PCE.
iirc the Mega Drive version introduced riding on the kangaroos, I think PCE Bomberman '94 is essentially the same game as the MD one. I can't remember which SFC game added the kangaroos.
Edit: some quick searching tell us:
Also: Bomberman WIkiOriginally Posted by moscaic
and why Saturn Bomberman is the best