Here is the full list of all 17 Puzlogic achievements.
Get 32 stars
Complete 8 levels
Get 16 stars
Complete 20 levels
Complete 28 levels
Complete 36 levels
Complete 52 levels
Complete 64 levels
Get 48 stars
Get 64 stars
Get 80 stars
Get 96 stars
Get 112 stars
Get all stars (128)
Complete level E
Complete level N
Complete level D