Here is the full list of all 33 Polychromatic achievements.
Complete 100 games.
Fire off 100 blasts.
Earn 50,000,000 points across all games.
Dash 100 times.
Kill 100,000 enemies.
Get shot five times.
Reach wave five without firing the gun.
Reach wave 30.
Have nine blasts at one time.
Kill 40 enemies with one blast.
Have nine extra lives at one time.
Kill 10 enemies with one dash.
Have nine dashes at one time.
Get a score of 5,000,000 in Endless mode.
Earn an extra life while having no extra lives.
Reach wave 25.
Get a score of 2,000,000 in Endless mode.
Reach wave 20.
Get a score of 850,000 in Endless mode.
Get a score of 250,000 in Endless Mode.
Have at least six extra lives, blasts, and dashes at one time.
Get a score of 850,000 in One-Life mode.
Get a score of 350,000 in One-Life mode.
Get a score of 50,000 in One-Life mode.
Finish Timed Mode with no kills and no deaths.
Get a score of 850,000 in Timed mode.
Get a score of 550,000 in Timed mode.
Earn 250,000 points without dying.
Complete a game.
Get a score of 250,000 in Timed mode.
Die the first time.
Reach wave 10 without dying.
Kill an enemy.