The Cactus Set in the Animal Crossing series originally consisted of three different cacti. The set doubled in size in Animal Crossing: New Leaf due to the addition of miniature versions of each cactus. There is another cactus in the Animal Crossing series known as the Desert Cactus that is not included in this set and is instead part of the Western Theme.
Doubutsu no Mori, Doubutsu no Mori+, Animal Crossing, and Doubutsu no Mori e+
Animal Crossing: Wild World
Animal Crossing: City Folk
Animal Crossing: New Leaf