It might be a bit of a stretch to call it a Bomberman style game but that's what people have said and I suppose it is closest to something 'known'. In actuality it is a modern take on Mine Bombers and if that's not familiar to you then perhaps a "top down Liero" rings a bell?
I'm posting here because I think this community might be interested in this game. If you like the idea please go vote for Gun Bombers on Steam Greenlight
Disclosure: I am the developer of the game.