Amazy Dayzee is a subset of the Crazee Dayzee species that first appeared in the original Paper Mario. They are gold in color and constantly let off a brilliant, sparkly sheen. They are also incredibly rare and powerful, able to deal a whopping 20 HP of damage with their attack, and they have 20 HP themselves. The fact that they prefer to flee rather than fight makes them even harder to kill, but should you be lucky enough to defeat one, you'll be richly rewarded in Star Points.
They reappear in Super Paper Mario in much the same way as the previous games, except they are capable of flipping between the 2-D and 3-D dimensions to supplement as "fleeing".