Here is the full list of all 25 Maze / Break achievements.
Finish first attempt
Escape from the first maze
Escape from the second maze
Escape from the third maze
Escape from the fourth maze
Escape from the fifth maze
Open the door on the sixth maze
Open the last door
Defeat at least 150 monsters in 1 attempt
Defeat at least 500 monsters in 1 attempt
Defeat at least 1500 monsters in 1 attempt
Visit at least 1000 tiles in 1 attempt
Visit at least 3000 tiles in 1 attempt
Visit at least 6000 tiles in 1 attempt
Defeat at least 10 bosses in 1 attempt
Defeat at least 30 bosses in 1 attempt
Defeat at least 50 bosses in 1 attempt
Escape the maze without starving even once
Escape the maze without losing or resurrecting any Helper
Upgrade any weapon to level +5
Upgrade any scroll to level +3
Find at least 5 artifacts in 1 attempt
Promote any Helper to level 20
Promote any Helper to level 100
Promote any Helper to level 200