Light a gas grill to medium heat. If you're cooking over charcoal, grill the peaches after everything else has been grilled. Lightly drizzle, or use a brush, the bread, peaches and zucchini on both sides with some olive oil.
Place the bread and zucchini on the grill and the peaches: place cut-side down on the grill and cook undisturbed until grill marks appear, for about 4 to 5 minutes. Flip everything and grill another 4 to 5 minutes more on the other side. Remove from the grill and carefully slice everything into smaller pieces, or however you prefer.
For everything else: Paying attention to varying textures and colors, assemble your cheese board with your cheeses, charcuterie, fruit, crackers and all of the grilled items. Include jams and/or preserves, if desired, in little dishes on your cheese board. Serve and enjoy!