Here is the full list of all 14 Jigsaw Puzzle Fever achievements.
Complete a puzzle within 3 minutes
Place all the edge pieces correctly first
Complete a puzzle within 10 minutes
Complete a puzzle with all pieces placed correctly first time
Score a perfect 10,000 in any level
Complete a puzzle without peeking at the box
Complete a puzzle without using any hints
Complete the first 10 puzzles
Complete any 108 piece puzzle
Complete a level in Expert Mode
Score a perfect 10,000 in 3 levels
Successfully complete a puzzle with the edge pieces placed last
Achieve a campaign score of 100,000 points
Complete 10 bonus puzzles