Here is the full list of all 56 Wrack: Exoverse achievements.
Defeat Space Jam.
Destroy a medium-sized Space Jam piece before it divides.
Defeat Giggordo.
Clear the first tutorial.
Clear the Metroplex.
Clear the Metroplex without using any towers.
Clear the Rainforest.
Unlock runes.
Unlock power shots.
Unlock hard mode.
Kill a tubaki hunter.
Earn a kill streak of 10x or more.
Earn a kill streak of 20x or more.
Earn a kill streak of 30x or more.
Earn a kill streak of 40x or more.
Earn a kill streak of 50x or more.
Earn a kill streak that lasts an entire wave.
Earn a kill streak that spans multiple waves.
Reset your kill streak timer by overkilling a corpse.
Kill a red champion vagabond.
Kill a blue champion grenadier.
Kill a yellow champion strider.
Kill a green champion bruiser.
Carry a weapon in each inventory slot.
Build a level 3 turret.
Build a level 2 turret.
Raise your damage to maximum using a garnet weapon.
Win an epic item through gambling.
Earn a kill combo of 3x or more by overkilling a kamikaze.
Pierce an enemy's shield and armor using a tanzanite weapon.
Earn an extra $250 from a streak or combo using a topaz weapon.
Ignite 3 enemies simultaneously using a ruby weapon.
Poison a high health enemy using an emerald weapon.
Shock an enemy's shield using a sapphire weapon.
Build a meter in under 3 seconds using a pearl weapon.
Deal an extra 75 damage in a single attack from an onyx weapon.
Attack for 30 seconds without reloading using a peridot weapon.
Headshot an enemy with an amethyst rifle's power shot.
Heal while at 0.5 health using a bloodstone weapon.
Headshot 3 enemies simultaneously using a diamond weapon.
Stun an enemy.
Add a gemstone to a weapon.
Unlock an item from Starlyn using relics.
Repair a barricade.
Clear an area without using your weapons.
Earn a kill combo of 2x or more.
Earn a kill combo of 4x or more.
Earn a kill combo of 6x or more.
Earn a kill combo of 8x or more.
Earn a kill combo of 5x or more using a power shot (level 1).
Earn a kill combo of 5x or more using a power shot (level 2).
Lead the enemies through 6 tiles of a twinshot turret.
Lead the enemies through 9 tiles of a pulse turret.
Lead the enemies through 5 tiles of a machinegun turret.
Lead the monsters through 10 tiles or more.
Lead the monsters through 25 tiles or more.