Here is the full list of all 14 Lost Home achievements.
Finish the game without dying once
Finish the game without game over
Finish the game
Play all snake solo levels
Play all armadillo solo levels
Beat all bosses without dying once
Defeat the first boss
Defeat the second boss
Defeat the third boss
Defeat the fourth boss
Escape the forest fire without dying once
Survive the burning heat of the desert without dying once
Surf down the mountainside without dying once
Evade the hot liquid magma without dying once