Here is the full list of all 22 Funny Bunny: Adventures achievements.
Complete first level
Go through the rabbit hole (bonus level)
Win the fairy game
Collect 150 golden carrots
Fight with the dog 20 times
Fight with the old witch 20 times
Fight with the retiree 20 times
Collect 100 soap bubbles (bonus level)
Launch bunny from cannon (bonus level) 50 times
Open a pot of gold (shiny, leprechaun treasure) 25 times
Jump on a cow 50 times
Collect 50 alarm clocks
Jump to the teleport 50 times
Complete green episode
Complete lava episode
Complete snow episode
Complete the game on easy difficulty
Complete the game on interesting difficulty
Buy all improvements in Plodder section
Buy all improvements in Helion section
Complete all levels for 3 stars
Complete all in-game achievements