Make the peach-ginger base: In a blender, combine peaches, grated ginger, honey, water, and a pinch of salt. Blend until very smooth. Taste and adjust sweetness or ginger.
Strain (optional): For a silkier drink, strain the puree through a fine mesh sieve, pressing with a spoon.
If you like pulp, skip this step.
Prepare the glass: Fill a tall glass with ice. Add 1–2 tablespoons lime juice, depending on how tangy you like it.
Add the base: Pour in 1/3 to 1/2 cup of the peach-ginger puree.
Top with bubbles: Gently add ginger ale or sparkling water, leaving some room at the top. Stir once to combine.
Create the sunrise: Slowly pour grenadine down the inside of the glass.
It will sink and create a red-to-gold gradient.
Garnish and serve: Add a peach slice, a lime wheel, and a sprig of mint. Serve immediately while it’s cold and sparkling.