In a 2-quart saucepan, combine 4 cups of water with the ginger, cinnamon, cloves, and coriander and bring to a boil. Reduce the heat and simmer 30 minutes. Add the honey and stir to dissolve. Strain and allow to cool.
Meanwhile, place a broiler rack about 6 inches from the heat source. Place the star fruit on a baking sheet and sprinkle 1 tablespoon brown sugar over the top. Broil until the sugar bubbles and begins to brown. Place 4 stars in each of 4 shallow bowls, ladle the gingered broth into each, and serve.