Here is the full list of all 14 Cardinal Chains achievements.
Complete the first 20 puzzles
Complete puzzle 58 in less than 5 seconds
Complete 100 puzzles
Spend more than 5 minutes on a puzzle
Find the 2 different ways of completing puzzle 145
Complete puzzles 205 to 210 in sequence in less than 1 minute and 30 seconds
Complete 250 puzzles
Complete puzzle 330 with only 7 moves
Find the 4 different ways of completing puzzle 383
Complete puzzles 430 to 440 in sequence in less than 2 minutes and 30 seconds
Complete 500 puzzles
Beat the zeros
Make a round-trip across all puzzles without releasing the switch button
Reach 25 hours of play time