Here is the full list of all 30 UglyDolls: An Imperfect Adventure achievements.
Complete all other achievements
Complete the game as Moxy
Complete the game as Ox
Block the pipe
Rescue Wage
Rescue Babo
Rescue Ice Bat
Rescue Ugly Dog
Rescue Wippy
Rescue Trunko
Pick up 1000 buttons
Craft 10 items
Trap 10 robots
Lure 5 robots into water
Spend 30 seconds in water
Trap 10 robots in bubbles
Spend 30 seconds in a box
Rummage in 50 places
Play 2 player
Get 5 robots to dance at the same time
Use 20 craft boxes in one level
Get knocked back 10 times by the charger
Be reversed 5 times
Get teleported 10 times
Have 5 enemies chasing you
Flip 10 switches
Spend 30 seconds on ice
Use air vents 10 times
Reach a height of 15 meters
Fly with the hover hat for 30 seconds