Here is the full list of all 18 Cross-Stitch Puzzle achievements.
Embroider all Asian patterns
Embroider all African patterns
Complete the 1st level in all modes
Finish the picture of half three
Finish the other diagonal half
Unlock 7 colors of threads
Embroider all Slavonic patterns
Finish the other half
Embroider your picture in the free mode
Embroider 10 000 crosses
Embroider 1000 crosses
Unlock all the colors of the threads
Embroider all North American patterns
Embroider a million crosses
Embroider all half patterns
Embroider all quarter patterns diagonally
Embroider all the patterns three quarters
Embroider all the patterns in the game