Prep the peaches: Slice peaches into wedges.
If they’re very ripe, handle gently so they don’t bruise.
Make the dressing: In a small bowl, whisk olive oil, balsamic, honey, a pinch of salt, and pepper. Taste and adjust—more honey if your peaches are tart, more vinegar if you want extra tang.
Build the base: Scatter arugula on a serving platter. Lightly drizzle with a spoonful of dressing and toss to coat.
Add peaches and burrata: Arrange peach slices over the greens.
Gently tear the burrata into large pieces and nestle them among the peaches.
Season well: Sprinkle flaky salt and black pepper over the burrata and peaches. Seasoning is key here for balance.
Finish with toppings: Add torn basil, toasted nuts, and a final drizzle of dressing. If using balsamic glaze, swirl a thin ribbon over the top.
Optional extras: Add a few ribbons of prosciutto, a pinch of chili flakes, or a squeeze of lemon for brightness.
Serve immediately: This salad is best right away with crusty bread to scoop up the creamy burrata and juices.