Bring orange juice, lemon juice, brown sugar, orange zest, and lemon zest to a boil in a saucepan over medium-high heat. Reduce heat to medium-low, and simmer until slightly thickened, about 5 minutes. Remove from heat, and stir in vanilla extract. Set aside to cool.
Layer the fruit in a large, clear glass bowl in this order: pineapple, strawberries, kiwi fruit, bananas, oranges, grapes, and blueberries. Pour the cooled sauce over the fruit. Cover and refrigerate for 3 to 4 hours before serving.