Berolina Pawns move diagonally and capture straight forward, and so for example a Rook cannot sit behind a Pawn and push it in to Queen, and a Bishop cannot be defended by a Pawn that the Bishop in turn defends.
I have looked at this game with the Fabulous FIDEs, the Colorbound Clobberers, and the Remarkable Rookies. I find that it works, and it presents interesting challenges.