Combine rice, milk, ginger, and cinnamon in a medium saucepan and set pan over medium heat. Bring to a simmer. Simmer 3 minutes, until thick. Remove from heat and stir in mango. Garnish with mint, if desired.;
In a small skillet toast flaked coconut on low heat until lightly toasted, about 5 to 8 minutes. To a medium saucepan, add rice and coconut milk and set pan over medium-high heat, bring to a simmer for 5 minutes. Remove from heat and let stand 5 minutes. Stir in toasted coconut.