Here is the full list of all 72 Moe Jigsaw achievements.
Hyper-Highspeed-Genius Pack All Clear
Hyper-Highspeed-Genius Pack #1 Clear
Hyper-Highspeed-Genius Pack #7 Clear
Hyper-Highspeed-Genius Pack #2 Clear
Hyper-Highspeed-Genius Pack #3 Clear
Hyper-Highspeed-Genius Pack #4 Clear
Hyper-Highspeed-Genius Pack #5 Clear
Hyper-Highspeed-Genius Pack #6 Clear
Blessing of the Campanella Pack All Clear
Blessing of the Campanella Pack #1 Clear
Blessing of the Campanella Pack #2 Clear
Blessing of the Campanella Pack #6 Clear
Blessing of the Campanella Pack #7 Clear
Blessing of the Campanella Pack #5 Clear
Blessing of the Campanella Pack #3 Clear
Blessing of the Campanella Pack #4 Clear
Hatsukoi Sankaime Pack All Clear
Hatsukoi Sankaime Pack #6 Clear
Hatsukoi Sankaime Pack #1 Clear
Hatsukoi Sankaime Pack #3 Clear
Hatsukoi Sankaime Pack #4 Clear
Hatsukoi Sankaime Pack #2 Clear
Hatsukoi Sankaime Pack #5 Clear
Hatsukoi Sankaime Pack #7 Clear
Tsunagaru Bangle Pack All Clear
Tsunagaru Bangle Pack #1 Clear
Tsunagaru Bangle Pack #2 Clear
Tsunagaru Bangle Pack #6 Clear
Tsunagaru Bangle Pack #7 Clear
Tsunagaru Bangle Pack #5 Clear
Tsunagaru Bangle Pack #4 Clear
Tsunagaru Bangle Pack #3 Clear
Witch's Garden Pack All Clear
Witch's Garden Pack #1 Clear
Witch's Garden Pack #3 Clear
Witch's Garden Pack #2 Clear
Witch's Garden Pack #6 Clear
Witch's Garden Pack #5 Clear
Witch's Garden Pack #4 Clear
Witch's Garden Pack #7 Clear
Happiness! Pack All Clear
Happiness! Pack #7 Clear
Happiness! Pack #2 Clear
Happiness! Pack #4 Clear
Happiness! Pack #3 Clear
Happiness! Pack #6 Clear
Happiness! Pack #1 Clear
Happiness! Pack #5 Clear
Special prices Pack All Clear
Special prices Pack #1 Clear
Special prices Pack #5 Clear
Special prices Pack #3 Clear
Special prices Pack #6 Clear
Special prices Pack #7 Clear
Special prices Pack #4 Clear
Special prices Pack #2 Clear
Moe Jigsaw All Clear
Moe Jigsaw #15 Clear
Moe Jigsaw #14 Clear
Moe Jigsaw #13 Clear
Moe Jigsaw #12 Clear
Moe Jigsaw #11 Clear
Moe Jigsaw #10 Clear
Moe Jigsaw #9 Clear
Moe Jigsaw #8 Clear
Moe Jigsaw #7 Clear
Moe Jigsaw #6 Clear
Moe Jigsaw #5 Clear
Moe Jigsaw #4 Clear
Moe Jigsaw #3 Clear
Moe Jigsaw #2 Clear
Moe Jigsaw #1 Clear