In the bowl of a food processor, process bread until coarse crumbs. Transfer to a large baking sheet and spread in even layer. Toast until golden, 5 to 7 minutes. Remove from the oven and transfer to a bowl and mix with melted butter, grahams and granulated sugar.
In a large bowl, toss the apples with the apple juice, sugars, cinnamon and nutmeg. Add to a skillet over medium heat and cook until tender, about 8-10 minutes, stirring often.
Remove half of the apples to a blender with any liquid from the pan. Pulse until you've made a chunky applesauce. Add back with the remaining apples.