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