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