Here is the full list of all 19 COTTON REBOOT! achievements.
Clear the first page of Arrange Mode with no mistakes! (Regardless of remaining machine, character, or difficulty level)
Cleared the arrange mode. (stock, character, difficulty, continue, no questions asked)
Cleared the arrange mode with cotton. (stock, character, difficulty, continue, no questions asked)
I shot Jizo and defeated it. (Arrange Mode, Time Attack Mode)
Cleared the stage leaving 6 magics. (Arrange Mode)
Defeated the boss using magic. (Arrange Mode)
I played 2 minutes of time attack.
You have won all the trophies!
Cleared X68000 mode. (stock, character, difficulty, continue, no questions asked)
Cleared the arrange mode with silk. (stock, character, difficulty, continue, no questions asked)
Defeated the boss using a fairy. (Arrange Mode)
The boss was defeated by the barrier's body.(Arrange Mode)
I shot a black crystal and destroyed it. (Arrange Mode, Time Attack Mode)
Special strong enemies character has appeared. (Arrange Mode)
Collected 6 of the same magic. (Arrange Mode, Time Attack Mode)
The jewel counter is set to MAX. (Arrange Mode, Time Attack Mode)
I played 5 minutes of time attack.
Clear Arrange Mode 1 and 2 with no mistakes! (Regardless of remaining machine, character, or difficulty level)
Clear Arrange Mode 1 to 3 with no mistakes! (Regardless of remaining machine, character, or difficulty level)