Awsome game. The idea is great.
Things to improve:
Checkpoints;
Life counter;
Animation when the character ressurges;
Sound effects when the character ressurges, hit the ground and dies;
Collectable itens that explain the game history;
Itens that help you in your journey; like a better lantern, shields, mushrooms that increase the jump, etc;
Hidden ways;
One checkpoint or a place that restore the life;