Set the oven to broil.
In a small bowl, mix the bread crumbs, parsley, lemon zest, and black pepper. Set aside.
Put the pieces of buffalo mozzarella in oven-proof serving dishes, or in one large dish. Drizzle the honey and spoon the capers over the cheese, season with salt and pepper.
Spoon the seasoned bread crumb mixture over the mozzarella. Drizzle the olive oil over the top and put it in the oven until bubbling and the bread crumb mixture is golden brown, approximately 5 to 8 minutes. Serve immediately with bread.