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