Place honey, rind, and ricotta in a medium bowl; stir well with a whisk to combine. Cover and chill.
Combine berries, juice, sugar, and sliced mint, tossing gently to coat.
Let stand at room temperature 5 minutes; cover and chill. Spoon 1/3 cup berry mixture into each of 6 parfait glasses or small bowls; top each serving with about 1/4 cup ricotta mixture. Divide remaining fruit mixture evenly among servings.