Agua Fresca de Fruta (Fruit Cooler — Mexico)

2 cups cold water
1 cup ice
2 cups fruit, cut into 1-inch pieces
    unless otherwise specified
1/4 cup granulated sugar, or to taste
1 tablespoon fresh lime juice, or to taste

In blender, combine all ingredients and blend on high speed until completely smooth. Pour cooler through a fine sieve into a glass pitcher. Chill cooler and stir before serving.

Fruit:
Honeydew or cantaloupe
Mango — use only 1 cup fruit; about 1 small mango
Pineapple with a few fresh basil leaves
Watermelon
Strawberries — halved, with a few fresh mint leaves
Papaya
Seedless red grapes — whole
Prickly pear fruit — halved, pulp and seeds scooped out