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