Here is the full list of all 6 Hentai Ancient Secret achievements.
Score 5,000 points in 3x3 mode.
Score 20,000 points in 4x4 mode.
Score 30,000 points in 5x5 mode.
Lose when the points are over 10,000.
Make 1,000 moves in one game.
Align the first crystals.