Here is the full list of all 23 ADVERSE achievements.
Complete "Lighthouse" world.
Complete all 8 base worlds.
Complete "Utopia" world.
Achieve a score combo of 1500+
Destroy 250 enemies
Complete "Waters" world.
Destroy all lanterns in any "Waters" level.
Complete "Dockyard" world.
Complete "Village" world.
Achieve a score combo of 1000+
Complete "Castle" world.
Complete "Woodlands" world.
Destroy 50 enemies.
Complete "Pure" world
Get a score of 2000+ in any official level
Get a score of 3000+ in any official level
Destroy 25 enemies.
Destroy an enemy over 85 meters away
Destroy an enemy over 50 meters away.
Destroy all enemies in a level
Destroy 5 enemies
Complete the Tutorial level.
Destroy an enemy over 25 meters away.