Here is the full list of all 33 dsync achievements.
Destroy 100 Enemies
Target the maximum number of enemies
Complete the Tutorial
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
Use 100 Smart Bombs
Use 1000 Smart Bombs
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 1000 Enemies
Destroy 10,000 Enemies
Play for 60 Minutes
Play for a Day
Play for a Week
Play for a Month