Here is the full list of all 24 Road Home achievements.
Collect 100 coins
Collect 500 coins
Collect all coins
Collect 15 gems
Collect 50 gems
Collect all gems
Collect all items
Complete all levels
Beat the Best Time of all levels
Defeat any Hard Mode Boss with pickaxe without using any other items or consumables
Complete any level without collecting any coin and hurting an enemy
Find the spectacular trio
Fill all pages of your diary
Find a way to deal with a worm
Defeat atleast 10 enemies with a melee weapon during one hard level. Cursed Coin of Rage must be active
Restore atleast 8 hit points to yourself during one hard level and complete that level. Cursed Coin of Avarice must be active
Complete any hard level in time faster than average time without running. Cursed Coin of Caution must be active
Complete any hard level without being hit. Cursed Coin of Resistance must be active
Defeat the tough enemy you met at the beginning of the journey
Complete the tutorial