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