Wash and dry arugula. Pat completely dry.
Wash and slice peaches into wedges. Remove pits.
Toast pistachios in dry pan 2 to 3 minutes until fragrant. Cool.
Whisk olive oil, balsamic vinegar, honey, Dijon, salt, and pepper until combined.
Arrange arugula on large platter or divide among four plates.
Place peach slices on arugula in pretty pattern.
Tear burrata into rustic pieces. Distribute over peaches.
Scatter toasted pistachios over salad.
Add fresh basil leaves torn or whole.
Drizzle honey balsamic dressing over entire salad.
Sprinkle with flaky sea salt and black pepper.
Serve immediately while burrata is creamy.