Further functionality for amiibo
So, the official Japanese site updated their amiibo compatibility chart (http://www.nintendo.co.jp/amiibo/software/amiibo_CompatibilityChart.pdf) and in it contains some interesting details.
We all know how the Chibi Robo specific amiibo works (levelling up Chibi Robo and unlocking the Toy Capsule Machine), but now we know what the non Chibi Robo amiibo do.
First, scanning any amiibo will get you coins to spend on items in the game, which we knew beforehand however, we do now know that there is additional functionality for all amiibo except Pikachu, Lucario, Charizard, Greninja, Jigglypuff, Sonic, Pac-man or Mega Man.
If you scan them, you can then access the Toy Capsule Machine which may give you a special figurine of Chibi Robo doing the pose of the amiibo in question. (Thanks to StreetsAhead for clarifying)
Pretty cute functionality.