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