Here is the full list of all 107 PHAT STACKS achievements.
Check the credits
Quit the game
Restart level 2 five times
Restart level 2 four times
Restart level 2 three times
Build 10 spheres
Build 9 spheres
Restart level 1 five times
Restart level 1 four times
Restart level 1 three times
Restart level 3 five times
Restart level 3 four times
Change to fullscreen
Turn the music off
Build 8 spheres
Restart level 3 three times
Build 7 spheres
Restart level 3 twice
Restart level 3
Build 6 spheres
Build 10 tower blocks
Play Level 3
Achieve 1 Star on Level 2
Achieve 2 Stars on Level 2
Build 5 spheres
Build 4 spheres
Build 3 spheres
Build 9 tower blocks
Build 8 tower blocks
Restart level 2 twice
Build 7 tower blocks
Build 6 tower blocks
Restart level 2
Build 5 tower blocks
Build 10 triangles
Build 9 triangles
Build 4 tower blocks
Play Level 2
Achieve 3 Stars on Level 1
Build 8 triangles
Build 2 spheres
Build 3 tower blocks
Restart level 1 twice
Build a sphere
Build 7 triangles
Build 6 triangles
Build 5 triangles
Achieve 1 Star on Level 1
Achieve 2 Stars on Level 1
Build 4 triangles
Build 3 triangles
Build 2 tower blocks
Restart level 1
Build 2 triangles
Build a triangle
Build a tower block
Play Level 1
Welcome to Phat Stacks!
Achieve 3 Stars on Level 2
Achieve 1 Star on Level 3
Achieve 2 Stars on Level 3
Achieve 3 Stars on Level 3
Achieve 1 Star on Level 4
Achieve 2 Stars on Level 4
Achieve 3 Stars on Level 4
Achieve 1 Star on Level 5
Achieve 2 Stars on Level 5
Achieve 3 Stars on Level 5
Achieve 1 Star on Level 6
Achieve 2 Stars on Level 6
Achieve 3 Stars on Level 6
Achieve 1 Star on Level 7
Achieve 2 Stars on Level 7
Achieve 3 Stars on Level 7
Achieve 1 Star on Level 8
Achieve 2 Stars on Level 8
Achieve 3 Stars on Level 8
Play Level 4
Play Level 5
Play Level 6
Play Level 7
Play Level 8
Restart level 4
Restart level 4 twice
Restart level 4 three times
Restart level 4 four times
Restart level 4 five times
Restart level 5
Restart level 5 twice
Restart level 5 three times
Restart level 5 four times
Restart level 5 five times
Restart level 6
Restart level 6 twice
Restart level 6 three times
Restart level 6 four times
Restart level 6 five times
Restart level 7
Restart level 7 twice
Restart level 7 three times
Restart level 7 four times
Restart level 7 five times
Restart level 8
Restart level 8 twice
Restart level 8 three times
Restart level 8 four times
Restart level 8 five times