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