Combine undrained pineapple, oranges and sugar in small bowl. Cover and refrigerate a minimum of 8 hours.
Drain juice from pineapple and oranges and add water (if necessary) to make 1 cup. Add corn starch and lemon juice to pineapple juice. Transfer to small saucepan.
Heat to boiling over medium high heat, stirring constantly. Remove from heat once mixture reaches a boil and thickens. Stir in cinnamon, nutmeg and ginger.
Place assorted fresh fruit in large bowl. Add pineapple orange mixture. Pour cooled sauce over all and gently mix to coat fruit. Chill 30 minutes or until serving time.