Here is the full list of all 33 Icycle: On Thin Ice achievements.
Get 100% in all dreams from the scrapbook
Complete all challenges for location 19
Complete the final chapter Fin
Complete all 8 locations in the original Icycle 1
Complete all challenges for location 4
Complete all challenges for location 12
Complete all challenges for location 10
Discover secret area 5
Complete all challenges for location 8
Complete all challenges for location 3
Discover secret area 3
Complete all challenges for location 1
Discover secret area 1
Complete all challenges for location 20
Endure 100 deaths
Complete the main story
Complete all challenges for location 18
Complete all challenges for location 17
Complete all challenges for location 16
Complete all challenges for location 15
Complete all challenges for location 14
Complete all challenges for location 13
Explode 100 bombs or sweets
Complete all challenges for location 11
Complete all challenges for location 9
Collect 1000 ice cubes
Complete all challenges for location 7
Complete all challenges for location 6
Discover secret area 4
Complete all challenges for location 5
Complete all challenges for location 2
Discover secret area 2
Collect 100 ice cubes