I'm about to list nearly every species of pinata... FROM MEMORY.
Horstachio
Pretztail
Fudgehog
Fizzlybear
Bunnycomb
Arocknid
Buzzlegum
Lickatoad
Lackatoad
Taffly
Cluckles
Mousemallow
Squazzil
Sparrowmint
Whirlm
Shellybean
Syurpent
Twingersnaps
Fourheads
Mothdrop
Flutterscotch
..... That's all I got. xD