In "Game of the Goose", we added an extra NPC. Our geese pieces are coloured, so either the yellow goose (the "piss goose") or the red goose (the "murder goose") would go around the board just like the players do. Except, they didn't get their own roll, they'd move on each player turn, advancing the number of spaces indicated by the lowest rolled die that the player rolled on their turn (eg a 2 and a 5 would see the player advance 7 and the piss/murder goose advance 2). If the piss/murder goose ends up on the same square as a player, that player goes back to the beginning.

If the piss/murder goose were to "win", they'd reset to the beginning but now advance using the higher die. If they'd win again, they'd advance by the sum of both dice. If they were to win for a third time, all players lose and nobody wins.

Just makes the otherwise slightly boring game a bit more tense/funny.