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