Here is the full list of all 11 Handsome Mr. Frog achievements.
Collect 50 hats
Break 250,000 points
Collect 10 hats
Break 100,000 points
Clear the Spooky World and loop!
Eat 50 Chili Peppers
Clear the Construction World
Break 50,000 points
Clear the Ice World
Clear the Swamp World
Collect your first hat