A video of Bomberman 64 showing all the battle stage (including the 4 secret stages)

The stages are:

Rock Garden: Meteors fall
Up and Down: Flood
Pyramid: Flood
Greedy Trap: Walls Close in
Top Rules: Walls Close in
Field of Grass: Meteors fall

The secret stages are:

In the Gutter: Walls Close in
Sea Sick: Meteors fall
Blizzard Battle: avalanches close in
Lost at Sea: Meteors fall

(I do not own Bomberman, it is owned by Hudson)