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