Here is the full list of all 36 Adventures of Heroes achievements.
Complete World 1-1
Complete World 1-2
Complete World 1-3
Complete World 1-4
Complete World 1-5
Complete World 1-6
Complete World 1-7
Complete World 1-8
To defeat gorilla
Complete World 2-1
Complete World 2-2
Complete World 2-3
Complete World 2-4
Complete World 2-5
Complete World 2-6
Complete World 2-7
Complete World 2-8
Defeat a stone man
Complete World 3-1
Complete World 3-2
Complete World 3-3
Complete World 3-4
Complete World 3-5
Complete World 3-6
Complete World 3-7
Complete World 3-8
Defeat vulture
Complete World 4-1
Complete World 4-2
Complete World 4-3
Complete World 4-4
Complete World 4-5
Complete World 4-6
Complete World 4-7
Complete World 4-8
Defeat the Snowman