Here is the full list of all 10 SETTRIS achievements.
Played the Tutorial
Completed Stage 10
Completed Stage 20
Completed Stage 40
Completed Stage 60
Completed Stage 80
Played Time Attack mode
Solved 10 puzzle boards in "3 Pieces" in Time Attack mode
Solved 10 puzzle boards in "4 Pieces" in Time Attack mode
Solved 10 puzzle boards in "5 Pieces" in Time Attack mode