Here is the full list of all 27 Space Smash achievements.
Unlock the ship "Speed"
Unlock Tank ship
Unlock the Elite ship
Get 50k score
Get 100k score
Get 150k score
Get 200k score
Collect the Shield
Collect the Magnet
Freeze Time
Collect power "x2 combo"
Collect power "x2 orbs"
Collect a machine gun
Collect a shotgun
Collect the Laser
Collect the fire gun
Collect missile launches
Collect grenade launches
Collect 'Mirror' power
launch the first super bomb
Rank 1st in overall rank
Get 400k score
Get 500k score
Unlock the Warriorship v2
Unlock the Speed V2 ship
Unlock the Tank V2 ship
Unlock the Elite V2 ship