Here is the full list of all 42 Christmas Puzzle 3 achievements.
Complete the first tutorial level
Make a 4-pieces match 10 times
Make a 5-pieces match 10 times
Make a 6-pieces match 10 times
Explode 25 bombs
Launch 10 rockets
Use magic wand 10 times
Make a snowman
Decorate the old tree.
Open a little shop
Get the fir-tree.
Prepare some donuts.
Buy gifts for kids.
Open a skating-rink.
Decorate the fir tree.
Open an icecream shop.
Build one more snowman.
Put gingerbread houses on the fir-tree.
Organize a bingo tournament.
Turn on the fir-tree lights.
Create an ice sculpture.
Illuminate the houses.
Decorate the tree.
Create an ice swan.
Illuminate the bridge.
Open a cafe
Create an ice nut-cracker
Illuminate the fir-trees.
Bring tables for the cafe.
Decorate and illuminate
Illuminate the remaining houses
Open the burger shop.
Open the candy shop
Illuminate the bushes.
Install the archway at the entrance
Illuminate the tree on riverbank.
Create an ice masterpiece.
Decorate the last fir-tree.
Decorate the townhall.
Install the marry-go-round.
Prepare Santa's office.
Invite Santa