Add the ricotta, cream cheese or mascarpone, olive oil, lemon zest, salt, and black pepper to a food processor. Blend until smooth and creamy.
Spread the whipped ricotta mixture into a shallow serving dish, using the back of a spoon to make soft swirls.
Tear the burrata into pieces and place it over the whipped ricotta base. Scatter the diced mango over and around the burrata.
Tear the prosciutto into loose pieces and tuck it around the mango and burrata.
Sprinkle the dip with chopped pistachios, fresh basil, flaky sea salt, cracked black pepper, and red pepper flakes if using.
Drizzle hot honey and balsamic glaze over the top right before serving. Serve immediately with crostini, crackers, pita chips, or toasted baguette slices.