To make the vinaigrette, combine all ingredients under "herb goddess vinaigrette" in a jar or bowl. Shake or whisk until emulsified. Taste and adjust salt and pepper.
If desired, slice up the baguette and brush both sides with olive oil. Broil on high for 1-2 minutes per side. Watch closely.
Arrange the tomatoes, peach slices, and cucumbers in a large bowl or platter. Drizzle a few spoonfuls of dressing on top. Let rest 5 minutes to absorb.
Tear the burrata balls and place around the perimeter. Sprinkle with sunflower seeds and additional chopped herbs, if using. Spoon a bit more vinaigrette on around the produce and burrata. Serve the rest on the side.
Keyword burrata, cucumber, main course, no cook, peach, salad, tomatoes, vegetarian, vinaigrette, weeknight dinner