Here is the full list of all 54 Secrets of Magic 5: Back to School achievements.
Break 82 lava stones
Break 64 lava stones
Collect 49 keys
Break 180 ice cubes
Destroy 190 metal tiles
Collect 80 chests
Buy 16 decorations
Break 108 ice cubes
Collect 1940 golden tiles
Destroy 130 metal tiles
Break 25 lava stones
Destroy 16 metal tiles
Use the Wand power-up 30 times
Collect 20 keys
Collect 850 gold nuggets
Use the Hammer power-up 25 Times
Play 8 days in a row
Collect 1000 golden tiles
Break 40 ice cubes
For being the Top Score in 32 levels
Collect 20 chests
Use Lightning power-up 16 times
Explode 32 Rockets
Play 5 days in a row
Use the Hammer power-up 12 Times
Use the Wand power-up 15 times
Change the style of an item you've already purchased 8 times.
Collect 510 gold nuggets
Buy 8 decorations
Change the style of an item you've already purchased 3 times.
Use the Fireball Cannon for 40 times
Change the style of an item you've already purchased 1 time.
Play 2 days in a row
Collect 9 keys
Use Lightning power-up 8 times
Play 25 levels in a row
Explode 18 Rockets
Use Lightning power-up 2 times
Collect 350 golden tiles
Use the Fireball Cannon for 20 times
For being the Top Score in 15 levels
Use the Hammer power-up 4 Times
Use the Wand power-up 5 times
Use the Fireball Cannon for 2 times
Play 14 levels in a row
Collect 4 chests
Collect 120 gold nuggets
Destroy 260 gate obstacles
Explode 6 Rockets
Destroy 190 gate obstacles
Play 5 levels in a row
Destroy 60 gate obstacles
Buy 1 decoration
For being the Top Score in 60 levels