Here is the full list of all 30 UglyDolls: An Imperfect Adventure achievements worth 1,000 gamerscore.
Complete all other achievements
Play 2 player
Complete the game as Ox
Be reversed 5 times
Lure 5 robots into water
Complete the game as Moxy
Rescue Trunko
Trap 10 robots in bubbles
Get 5 robots to dance at the same time
Spend 30 seconds in a box
Fly with the hover hat for 30 seconds
Pick up 1000 buttons
Rescue Wippy
Spend 30 seconds in water
Trap 10 robots
Rescue Ugly Dog
Rescue Ice Bat
Get knocked back 10 times by the charger
Have 5 enemies chasing you
Spend 30 seconds on ice
Rescue Babo
Craft 10 items
Use air vents 10 times
Reach a height of 15 meters
Rescue Wage
Rummage in 50 places
Get teleported 10 times
Flip 10 switches
Block the pipe
Use 20 craft boxes in one level