Honey collecting mini-game:
To unlock the honey collecting mini-game, after gardening and harvesting all the secret and special plants, vegetables, and fruit, open your treasure chest, and select the golden bee at the bottom.
Pumpkin Carving mini-game:
To unlock the Pumpkin Carving mini-game, harvest a pumpkin. Then, go into the decorating screen, and tap the picture of the jack-o-lantern in the right side corner.