A scan from Shonen Jump magazine as seen on a post at apforums.net shows the new costumes that can be obtained by using various amiibo toys. The characters are seen posing just like the actual amiibo figures.
One Piece: Super Grand Battle! X is already available, but an update later this winter will add amiibo capabilities. Bandai Namco has also announced that Ace Combat: Assault Horizon Legacy Plus will have some sort of amiibo functionality.
What other games do you think deserve amiibo support?
I think there are a multitude of games that could benefit from the amiibo craze. That being said, I will be more excited about games like this once I know I can actually get the figures I want.