Here is the full list of all 19 Revolution Ace achievements.
Collect 100 powerups.
Destroy an enemy with a reflected projectile.
Use a superweapon ten times.
Buy your first equipment item.
Get your first Perk.
Win a Versus game.
Destroy a boss with a 5x or greater combo.
Play a Battle Chains series that reaches Round 5.
Complete the Campaign.
Complete the +1 Campaign.
Destroy 100 Spamicopters.
Send over 500 enemies to opponents in Battle Chains games.
Figure out a way to destroy a red Shadow enemy.
Reach a 50x combo.
Collect each type of powerup at least once.
Equip an elite weapon in every standard weapon slot.
Amass 1,000,000 scrap.
Obtain every superweapon.
Reach level 20.