Here is the full list of all 20 Puzzle Tower achievements.
Complete the first floor of the Puzzle Tower.
Reach the 10th floor of the Puzzle Tower.
Successfully complete every floor of the Puzzle Tower.
Successfully defeat the Spider.
Successfully defeat the Golem.
Successfully defeat the Dragon.
Complete any puzzle in under 20 seconds.
Take longer than 20 minutes to complete any puzzle.
Navigate through all of the traps without dying once.
Navigate the first three dungeons successfully.
Successfully defeat the Tree Ent.
Successfully navigate every dungeon of the Underground.
Successfully defeat the Demon Lord.