Here is the full list of all 27 Dungeon Manager ZV achievements.
Set monsters as the Big Four
Killed 100 Heroes
Found a Dragon Egg
Built down to level B3
Synthesized a new monster
Changed a floor element
Set a monster as Last-Boss
Killed your first Hero
Placed a Knight's Emblem item
Killed 1,000 Heroes
Killed 2,000 Heroes
Hatched a Dragon Egg
Built down to the bottom level
Killed a Dragon Knight
Killed a Wizard
Killed the Spirial Knight
Killed a Genrei Knight
Created a Zombie Dragon (Z-Dragon)
Created a Special Slime (S-Slime)
Created a Vaster Slime (V-Slime)
Created a Vaster Golem (V-Golem)
Created a Vaster Demon (V-Demon)
Created a Vaster Dragon (V-Dragon)
Killed 3,000 Heroes
Killed 5,000 Heroes
Killed 10,000 Heroes
Finished the game and watched the ending