Nice, I like how you added a falling animation as well, something people seem to overlook I've noticed. This might just be me, but you might want to add a death counter, (Something that keeps track of how many times you've died/been hit by a bird/bat) or another form of punishment rather then resetting the player's position, because it feels a bit tedious to have to back-track. Oh, and unless you intended it, you might want to make it so that the player can't hold down the A button to jump every time he touches the ground.
But yeah, overall, nicely done. ;)