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