Here is the full list of all 39 Mahjong by Microsoft (Mobile) achievements worth 1,000 gamerscore.
Won 12 Bronze Daily Challenge badges.
Won 10 Silver Daily Challenge badges.
Completed the same puzzle 20 times.
Completed 4 puzzles using 4 different Tile Sets.
Won 8 Gold Daily Challenge badges.
Matched the following tiles in sequence: N, E, S, W.
Completed the following puzzles in sequence: 2, 4, 8, 16.
Completed a Puzzle Pack.
Completed a puzzle using the "Hint" button only twice.
Completed 10 Hard puzzles without using Reshuffle, Undo, or Hint.
Won 4 puzzles of different difficulty in a row from Easy to Expert.
After "No More Moves," undid 10+ moves in a row then won the puzzle.
Changed the Tile Set.
Completed 10 Quickplay puzzles.
Completed a puzzle within three turns after using a reshuffle.
Completed every Daily Challenge in a month.
Made 10000 matches.
Completed 10 chains of 5 or more.
Completed at least one Daily Challenge every day for a month.
Completed a Hard Puzzle.
Completed 5 Expert puzzles without using a Reshuffle, Undo, or Hint.
Completed 4 different Expert puzzles.
Won a Diamond Daily Challenge badge.
Matched a pair of Lightning Tiles with only 1 move left in countdown.
Matched three identical pairs in a row.
Completed a puzzle with total chains of 20 or above.
Completed a puzzle.
Completed a puzzle within 3 minutes.
Completed an Expert puzzle within 5 minutes.
Made 3 consecutive matches with flower tiles.
Made 1000 matches.
Played the Daily Challenge 5 days in a row.
Completed a Match Attack with at least 1 minute left on the timer.
Matched 3 pairs of the same suit which count up or down.
Made 100 matches.
Cleared the board with Golden Tiles being the last match on the board.
Played your first Daily Challenge.
Completed your first Daily Challenge.
Made 5 matches within 15 seconds.