Everyone knows the game of pin the tail on the donkey.
Blindfold each player, one at a time. Spin each player around several times. Then point the player in the direction of the donkey. Whoever comes closest to putting the tail in the right spot wins.
But this is a game that can be played by children anytime of the year. What more fun then changing the game around. Why not a snowman and try to pin on his carrot nose, or a bunny for Easter and try to pin on his cotton tail.
Half the fun can be with the kids making the game pieces.