Here is the full list of all 43 Fluffy Friends achievements.
Don't use buttons to complete the level
Complete level 32
Complete all levels
Complete level 31
Complete level 30
Complete level 29
Complete level 28
Complete level 27
Complete level 26
Complete level 25
Complete the first 24 levels
Complete level 24
Complete level 23
Complete level 22
Other monster falls into the abyss
Complete level 21
Complete level 20
Complete level 19
Complete level 18
Complete level 17
Complete level 16
Complete the first 16 levels
Complete level 15
Complete level 14
Complete level 13
Complete level 12
Complete level 11
Complete level 10
Complete level 9
Complete level 8
Complete the first 8 levels
Complete level 7
Fall into the abyss
Complete level 6
Complete level 5
Meet Mad Orange monster
Complete level 4
Complete level 3
Meet Purple Rustling monster
Complete level 2
Meet Blue Cavething monster
Meet Green Horn monster
Complete level 1