Here is the full list of all 41 Hyper Simox 3000 achievements.
Reach the level 6
Reach the level 5
Score 15000 points
Score 20000 point
Destroy 100 ship wreckages
Reach the level 4
Destroy 75 ship wreckages
Destroy 100 ships
Destroy 50 ship wreckages
Score 8000 points
Score 10000 points
Destroy 75 ships
Destroy 30 ship wreckages
Reach the level 3
Score 3000 points
Score 5000 points
Score 3000 points on a single combo
Score 4000 points on a single combo
Destroy 50 ships
Score 5000 points on a single combo
Destroy 20 ship wreckages
Destroy 30 ships
Destroy 30 ships on a single run
Destroy 25 ships on a single run
Destroy 20 ships
Destroy 20 ships on a single run
Destroy 10 ship wreckages
Destroy 15 ships on a single run
Reach the level 2
Score 1000 points
Destroy 10 ships
Score 1000 points on a single combo
Destroy 10 ships on a single run
Score 2000 points on a single combo
Destroy 5 ship wreckages
Destroy 5 ships
Destroy 5 ships on a single run
Score 300 points on a single combopoints on a single combo
Reach the level 7
Score 25000 point
Reach the level 8