Whisk coconut milk, cinnamon, turmeric, ginger, honey, coconut oil, peppercorns, and 1 cup water in a small saucepan; bring to a low boil. Reduce heat and simmer until flavors have melded, about 10 minutes. Strain through a fine-mesh sieve into mugs and top with star anise. Golden milk can be made 3 days ahead. Store in an airtight container and chill. Warm before serving.
