Animals can be "attracted" to the MyLand Striiv game in several different ways. First, you can spin a MyLand challenge, such as Grow 2 Grandfather Trees. Second, you can open a treasure chest. Third, an animal can just appear when you finish growing a plant or fixture. Each plant/fixture will always attract the same animal. For instance, the Greek Villa will always attract a purple lemur, and never anything else.
The odds of getting an animal are about 1 in 5 unless you have the Honey Pot, where the odds grow to 2 in 5 (from the bronze treasure chest) or 3 in 5 (from the silver treasure chest) or 4 in 5 (from the gold treasure chest). The very expensive plants and fixture seem to attract an animal.
There are eight species of animals in MyLand: lemurs, tigers, turtles, ostriches, parrots, centaurs, dragons, and fairies. Within each species there are often color variations, and one size variation. Here is a complete list:
Lemur: brown, yellow, purple
Tiger: orange, white, black
Ostrich: black, yellow
Centaur: blond, brunette, redhead
Dragon: green, red, and Large Green
Fairy: purple with monarch wings
Send a comment if you are looking to attract a specific animal, and I can tell you all the different ways you can get it.