Cut pineapple crosswise into 1/2 inch-thick rings; arrange on a platter.
Peel mangoes. Slice fruit off pits and cut into 1/2-inch chunks; discard pits. Arrange mangoes over and around pineapple. Cut limes into wedges and place on platter.
Sprinkle ginger evenly over fruit. Squeeze lime juice from wedges over fruit to taste.