Preheat your oven to 350°F and grab an 8x8 baking dish. Slice your 4 cups of fresh peaches and scatter them evenly in the bottom of the dish. Drizzle the honey and vanilla extract over the peaches, then toss gently to coat (you're aiming for even flavor distribution, not aggressively mixing).
In a separate bowl, combine the 1/2 cup rolled oats, 1/2 cup flour, 1/2 cup brown sugar, 1/4 cup granulated sugar, 1 teaspoon cinnamon, 1/4 teaspoon nutmeg, and 1/4 teaspoon salt. Stir everything together until you've got an even, crumbly mixture with no brown sugar clumps hiding anywhere.
Cut the 1/2 cup unsalted butter into small cubes and add them to your oat mixture. Using a fork or your fingertips, work the butter into the oats until everything looks like coarse breadcrumbs — this takes about 2 minutes. Don't overmix or you'll end up with a dense, compact topping (the whole point is having that beautiful crumbly texture).
Spread the oat mixture evenly over your peaches, pressing down gently so nothing falls off during baking. It should cover the peaches almost completely but not be packed down like concrete. Slide the dish into your preheated oven and bake for 38 to 42 minutes until the top turns golden brown and you see the peach juice bubbling up around the edges.
The peach crumble oat cozy warm is done when the topping looks deep golden (not just pale tan) and feels firm to the touch. I always check around minute 35 because ovens vary — mine runs hot, so my crumbles are done closer to 38 minutes. Let it cool for at least 15 minutes before serving so it sets up properly (yes, I know it's hard to wait, but trust me on this).