Depending on the form of Amiibo, you can get them to visit your campgrounds or move-in. Also, in addition to that, Amiibo Figures can be used in Animal Crossing Puzzle League to switch-up your Special Attack, and Amiibo cards can be used to change-up your chosen villagers in Desert Island Escape, and use them without spending Play Coins! Also, with the right cards, you are not limited to Villagers living in your town! Though animals of the same species typically have the same skill ability as others who have that species, though with different things such as sometimes with different favorite fruit I think. Though Isabelle I think breaks the rule on what skill she gets. I think she does not get the same skill as other dogs.
My Dream Code post Welcome Amiibo is in my friendcodes section