Measure and prepare all ingredients: chop the fresh fruit, grate the ginger, and gather your liquids.
Add the chopped fruit, coconut milk, white rum, grated ginger, honey, and ice cubes into the blender.
Blend on high speed until the mixture is smooth and the ice is crushed, about 30-40 seconds. You should see a thick, icy slurry with vibrant color and fragrant aroma.
Stop the blender and check the texture; if it's too thick, add a splash of coconut water or more rum to loosen it slightly, then blend again for a few seconds.
Pour the slushie into glasses, allowing the icy and vibrant mixture to mound slightly above the rim.
Garnish with additional fresh fruit, a sprig of mint, or a small wedge of ginger if desired.
Serve immediately with a straw or spoon, savoring the icy, fragrant texture crafted from fresh ingredients and rum.