Here is the full list of all 23 Jigsaw Puzzles Infinite achievements.
Connect a total of 10000 pieces
Finish 100 puzzles
Finish 50 puzzles
Finish 50 Unique puzzles
Connect a total of 1000 pieces
Finish a puzzle with at least 1000 pieces
Finish 5 puzzles with unique shapes
Finish 2 puzzles with unique shapes
Finish 10 puzzles in Classic mode
Finish 25 puzzles
Finish 20 Unique puzzles
Complete a puzzle with at least 100 pieces under 3 minutes
Finish 10 puzzles in Zen mode
Finish 10 puzzles
Finish 5 puzzles
Finish 5 unique puzzles
Finish a classic puzzle (over 200 pieces) without sorting (spreading pieces is fine)
Add 5 custom puzzles
Add 10 custom puzzles
Finish a zen puzzle with at least 100 pieces without mistakes (puzzle never lands on board)
Add 1 custom puzzle
Connect a total of 100 pieces
Finish 1 puzzle