Peach cobbler has a biscuit-like topping that is dropped onto the fruit filling, giving it a rustic look. The biscuit topping tends to be soft and cakey. Peach crumble is similar to cobbler, but the topping is made with a mixture of flour, sugar, and butter that is combined until crumbly. The crumble is sprinkled over the fruit filling and baked until golden and crispy. When you add oats to the crumble topping, it becomes a peach crisp!