- Preheat the oven to 375°F (190°C). Grease or line a baking dish with parchment paper. 
- In a large mixing bowl, toss the peaches with sugar, vanilla, cinnamon, cornstarch, and lemon juice, ensuring the slices are evenly coated. Transfer the mixture to the prepared dish, spreading it evenly. 
- For the topping, combine flour, oats, brown sugar, granulated sugar, baking powder, and salt in a medium bowl. Pour in melted butter and stir until the mixture forms a crumbly texture. 
- Distribute the crumble topping evenly over the peach mixture. For a savory twist, sprinkle shredded cheddar cheese on top if desired. 
- Bake for 40–45 minutes or until the topping turns golden brown and the filling is bubbling. 
- Allow the cobbler to cool slightly before serving. Enjoy warm, paired with a scoop of vanilla ice cream or a dollop of whipped cream.