Cut each grapefruit in half and gently separate the sections from the membrane by cutting around each section with a paring knife, keeping the grapefruit intact. Place the grapefruit halves cut side up on a baking sheet. Drizzle 1 teaspoon of honey over each half and sprinkle evenly with the brown sugar.
Place grapefruit under broiler and brown well, about 3 minutes. Remove grapefruit and sprinkle with the crystallized ginger and coconut if desired. Serve warm.
c.1997, M.S. Milliken & S. Feniger, all rights reserved