Here is the full list of all 52 HENTAI SAVES AUSTRALIA achievements.
Complete 1 puzzle
Complete 5 puzzles
Complete 10 puzzles
Complete 15 puzzles
Complete 30 puzzles
Complete 60 puzzles
Complete 150 puzzles
Complete 300 puzzles
Make 6 puzzle tile moves
Make 20 puzzle tile moves
Make 100 puzzle tile moves
Make 200 puzzle tile moves
Make 500 puzzle tile moves
Make 1000 puzzle tile moves
Make 5000 puzzle tile moves
Make 9001 puzzle tile moves
Make 10000 puzzle tile moves
Play the game for 60 seconds
Play the game for 240 seconds
Play the game for 10 minutes
Play the game for 20 minutes
Play the game for 1 hour
Complete the first puzzle
Complete the second puzzle
Complete the third puzzle
Complete the fourth puzzle
Complete the fifth puzzle
Complete the sixth puzzle
Complete the seventh puzzle
Complete the eighth puzzle
Complete the ninth puzzle
Complete the tenth puzzle
Complete the eleventh puzzle
Complete the twelfth puzzle
Complete the thirteenth puzzle
Complete the fourteenth puzzle
Complete the fifteenth puzzle
Click the mute button
Click the mute button 6 times
Click the mute button 12 times
Look at the gallery for 30 seconds
Look at the gallery for 60 seconds
Look at the gallery for 120 seconds
Look at the gallery for 5 minutes
Look at the gallery for 10 minutes
Use the keyboard in the gallery
Start the game 2 times
Start the game 5 times
Start the game 12 times
Take 20 seconds on a single move
Take 60 seconds on a single move
Complete a puzzle in less then 10 seconds