Here is the full list of all 19 Fine Sweeper achievements.
Step on 5000 bombs
Try to cheat
Flag 50,000 bombs
Expert Mode unlocked
Pick up 113 hearts
Make it to Level 10 without a single mistake
Make it to Level 10 without any pick-ups
Clear the whole board in 1 click
Make it to level 7 in less than 1 minute
Pick up a Full Heart Container
Beat Level 50
Start a Custom Game
Make it to Level 40
Have all heart containers filled
Make it to Level 30
Make it to Level 20
Beat a hi-score of 100,001
Make it to Level 10
Launch Fine Sweeper