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