Amazy Dayzee
Amazee Dayzees are super rare and super powerful Crazee Dayzees found in Paper Mario and Paper Mario: The Thousand Year Door. The best way to defeat one is to use Art Attack continuasly, which can give out a maximum of 18 damage when done correctly. You should then just attack it with a partner. If Mario loses, he should leave the area and come back in a few minutes. Be persistent, they can give you as much as 50 Star Points if you win, depending on your level.
Amazee Dayzees appear once again in Super Paper Mario. In Chapter 8-2, Mimi, disguised as Merlee, asks you several questions on which enemies scare you the most. Amazee Dayzee can be chosen as an answer, and later will be found as one of the traps set up by Mimi. They are very fast and can flip dimensions any moment they want.
They also are naturally found in Chapter 5-2 if Mario flips to 3-D in one specific area.