Here is the full list of all 30 Let's! Revolution! achievements.
Maintain your Charge for 15 turns.
Defeat the King on NG+5.
Complete a run without taking any damage on Normal or harder.
Defeat the King without stepping on any enemies.
Unlock all skills and items.
Defeat the King with one health remaining.
Defeat the King with the Witch.
Defeat the King with the Hunter.
Hit 4 enemies with Roundhouse.
Defeat the King with the Oracle.
Catch the King without killing any enemies.
Defeat the King with the Charger.
Escape a level with 5 or more visible enemies.
Perform Premonition for 0 Energy.
Defeat the King with the Shadow.
Defeat three or more enemies in one turn.
Defeat the King with the Trooper.
Defeat the King.
Max out your Health.
Reach Beebom City.
Max out your Energy.
Defeat a Heavy Guard.
Complete the tutorial.
Hold 100 gold.
Hit 6 enemies with Armageddon.
Hit an enemy for 5 damage.
Perform a Slash for 0 Energy.
Hide 4 enemies with a Smokebomb.
Finish a run on normal or harder in under 10 minutes.
Recieve a complimentary Bubbleship Ticket from Chovy.