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