Here is the full list of all 46 Psycho Starship Rampage achievements.
Fire 300 torpedoes
Fire 100 torpedoes
Fire 30 black holes
Collect 30 life upgrades
Kill 500 enemies with shield
Kill 30000 enemies
Kill 500 enemies using mines
Fire 100 mines
Hack 200 loot boxes
Kill 1000 enemies behind you
Kill 5000 enemies using a laser cannon
Ram and kill 500 enemies
Kill 300 enemies using a tractor beam
Kill 100 enemies using a tractor beam
Kill 300 enemies behind you in one run
Collect 500 power-ups
Absorb 100 plasma bullets with a shield
Get hit 20 times by friendly fire
Get hit 50 times by friendly fire
Build a ship with 2000 total power
Destroy 300 asteroids
Build a ship with 500 total power
Ram and kill 50 enemies
Kill 200 enemies with shield
Survive level 10
Collect 50000 scrap
Destroy 100 asteroids
Build a ship of 100 tiles
Kill 5000 enemies
Destroy 200 ship carcasses
Build a ship with 100 total power
Collect 20000 scrap
Destroy 100 ship carcasses
Fire 100 subspace bubbles
Build a ship of 50 tiles
Build a ship with 20 cannons
Survive level 0
Kill 500 enemies using a pulse emitter
Die 20 times
Survive level 20
Kill 10000 enemies using a laser cannon
Kill 1000 enemies using a pulse emitter
Survive level 30
Fire 100 shockwaves
Cancel 10000 enemy plasma bullets
Cancel 20000 enemy plasma bullets