Refrigerate the orange juice, pineapple juice, milk or half-and-half, sparkling water, and lemon-lime soda until thoroughly chilled.
Pour the chilled orange juice and pineapple juice into a large punch bowl or pitcher.
Stir gently until combined.
Slowly pour in the chilled half-and-half or whole milk.
Stir gently until the mixture becomes smooth and creamy.
Taste the punch before adding additional sweetener.
If your orange juice is tart, add a small amount of honey or sugar and stir until dissolved.
Just before serving, pour in the chilled lemon-lime soda and sparkling water.
Add ice cubes shortly before serving.
For an attractive presentation, use frozen orange slices or frozen pineapple chunks instead of some of the regular ice.
For individual servings, top with a small swirl of whipped cream and garnish with an orange slice.
Pour into chilled glasses and serve immediately.