ZooCube (E)(Blizzard)

Nintendo Gameboy Advance / GBA ROM

Lulink says:
A puzzle game in which you rotate a cube in the center of the screen to make the bricks fall onto the 6 sides. You need to get 2 identical bricks on top of each-other to destroy them. There is more to it of course, and if you are into original puzzle games with unusual mechanics, look no further!