If no bishop can make a move, then all his bishops disappear from the board. Black may make two moves in a row. All the rooks of white, if he has still some, disappear from the board. All pawns disappear from the board. All pawns are put back on the board on the squares where they started the game, except for the positions that are occupied.
Creative callers can invent additional commands.
A caller can make a command almost every move, or just a few times per game. After some fixed time, the game stops, and for games that are not yet finished, the player that has most pieces still on the board wins the game. Then write down a possible command on each card. These commands could be like what you described, based on chess rules or chess knowledge. Put all the cards into a big box and mix them around.