Here is the full list of all 33 dsync achievements.
Level 1 Completed
Level 2 Completed
Level 3 Completed
Level 4 Completed
Level 5 Completed
Game Completed
Completed a level with 100%
Started 100 Levels
Completed 100 Levels
Complete Level 1 in less than 12 minutes
Complete Level 2 in less than 12 minutes
Complete Level 3 in less than 15 minutes
Complete Level 4 in less than 15 minutes
Complete Level 5 in less than 20 minutes
Complete Level 6 in less than 20 minutes
Score more than 100,000 points in one game
Score a million points overall
Score a billion points overall
Target the maximum number of enemies
Use 100 Smart Bombs
Use 1000 Smart Bombs
Complete the Tutorial
Shoot down 100 Missiles
Shoot down 1000 Missiles
Completed all levels with a minimum of 75%
Target and Shoot down 5 or more Missiles at once
Destroy 100 Enemies
Destroy 1000 Enemies
Destroy 10,000 Enemies
Play for 60 Minutes
Play for a Day
Play for a Week
Play for a Month