Here is the full list of all 93 Let's Play Jigsaw Puzzles achievements.
Complete Petal and Stars Type in Swap
Complete Squares and Crosses Piece Type in Swap
Complete Triple Bands Piece Type in Swap
Complete Octagons and Squares Piece Type in Swap
Complete Quarter Circles and Stars Piece Type in Swap
Complete Rectangles Landscape Piece Type in Swap
Complete Up-Stacked Circles Piece Type in Swap
Complete Double Split Squares Piece Type in Swap
Complete Split Rectangles Piece Type in Swap
Complete 20 Piece Types under Swap
Place 500 Pieces
Complete Double Stripes Piece Type in Swap
Complete Rectangle Portrait Piece Type in Swap
Complete Stripes Piece Type in Swap
Complete Double Bands Piece Type in Swap
Complete Four-Square Rectangles Piece Type in Swap
Complete Quarter Circles and Diamonds Piece Type in Swap
Complete Triple Stripes Piece Type in Swap
Complete Triangles Piece Type in Swap
Complete Octagons and Stars Piece Type in Swap
Complete 10 Piece Types under Swap
Complete Down-Stacked Circles Piece Type in Swap
Complete Concentric Rectangles Piece Type in Swap
Complete Octagrams and Crosses Piece Type in Swap
Complete Concentric Circles Piece Type in Swap
Check out the Credits
Complete Circle and Half Squares Piece Type in Swap
Place 100 Pieces
Complete Circle and Quarter Squares Piece Type in Swap
Place 50 Pieces
Complete Circle and Stars Piece Type in Swap
Place 25 Pieces
Complete Bands Piece Type in Swap
Launched the Game for the First Time
Place 1000 Pieces
Place 2000 Pieces
Place 5000 Pieces
Place 10000 Pieces
Place 20,000 Pieces
Place 35,000 Pieces
Place 50,000 Pieces
Use Hint 250 Times
Complete Artistic Piece Type in Jigsaw
Complete Animals Piece Type in Jigsaw
Complete Blobs Piece Type in Jigsaw
Complete Circle Jumble Piece Type in Jigsaw
Complete Circle and Squares Piece Type in Jigsaw
Complete Concentric Piece Type in Jigsaw
Complete Concentric Hearts Piece Type in Jigsaw
Complete Fans Piece Type in Jigsaw
Complete Irregular Pentagon Piece Type in Jigsaw
Complete Knobbed Arrows Piece Type in Jigsaw
Complete Knobbed Hexes Piece Type in Jigsaw
Complete Knobbed Triangles Piece Type in Jigsaw
Complete Rectangles Piece Type in Jigsaw
Complete Rentacle Jumble Piece Type in Jigsaw
Complete Regular Traditional Piece Type in Jigsaw
Complete Ripples Piece Type in Jigsaw
Complete Saji Piece Type in Jigsaw
Complete Shard Box Piece Type in Jigsaw
Complete Shards Piece Type in Jigsaw
Complete Split Circle Piece Type in Jigsaw
Complete Sunburst Squares Piece Type in Jigsaw
Complete Traditional Piece Type in Jigsaw
Complete Twisted Piece Type in Jigsaw
Complete Warped Concentric Piece Type in Jigsaw
Complete Warped Traditional Piece Type in Jigsaw
Complete Warped Regular Traditional Piece Type in Jigsaw
Complete Wriggle Boxes Piece Type in Jigsaw
Complete 10 Piece Types under Jigsaw
Complete 20 Piece Types under Jigsaw
Complete any Jigsaw in Easy Rotation 50 Times
Complete any Jigsaw in Medium Rotation 50 times
Complete any Jigsaw in Hard Rotation 50 times
Complete a Swap Puzzle with 100 Pieces or More with No Mistakes
Complete any Puzzles in Multiplayer 10 Times
Complete any Puzzles in Multiplayer 50 Times
Complete any Puzzles in Multiplayer 100 Times
Complete any Puzzles in Multiplayer with 2-4 Players 50 Times
Complete any Puzzles in Multiplayer with 5-8 Players 50 Times
Score the highest in Multiplayer 10 times
Score the highest in Multiplayer 15 times
Score the highest in Multiplayer 20 times
Complete a Custom Puzzle 50 Times
Complete a Custom Puzzle 100 Times
Complete any Puzzles with no Hints 50 Times
Complete 10 Pictures under Nature for both Jigsaw and Swap
Complete 10 Pictures under City for both Jigsaw and Swap
Complete 10 Pictures under Warm for both Jigsaw and Swap
Complete 10 Pictures under Pets for both Jigsaw and Swap
Complete 10 Pictures under Decor for both Jigsaw and Swap
Complete 10 Pictures under Gifts for both Jigsaw and Swap
Complete 10 Pictures under Treats for both Jigsaw and Swap