Here is the full list of all 17 Tetraminos achievements.
Complete 50 puzzles in Puzzle mode
Complete 50 puzzles with 3 stars in Puzzle mode
Complete 10 puzzles in Puzzle mode
Complete 20 puzzles with 3 stars in Puzzle mode
Complete challenge #20 in Challenge mode
Clear 10 lines in Multiplayer mode
Complete challenge #15 in Challenge mode
Complete challenge #8 in Challenge mode
Danger cleared 5 times in one game in Endless mode
Get a score of 300,000 in Endless mode
Reach speed x10 in Endless mode
Get a score of 150,000 in Endless mode
Make a 2-line color strike in Endless mode
Make a 3-line color strike in Endless mode
Make a 4-line color strike in Endless mode
Get a score of 80,000 in Endless mode
Make a 1-line color strike in Endless mode