Dissolve 1 tbsp of the flavored instant coffee in hot water in small bowl; sprinkle over ladyfingers. Line bottom and side of shallow 2-quart serving bowl with ladyfingers.
Place 1/2 c of the milk, cream cheese and remaining undissolved flavored instant coffee in blender container; cover. Blend on medium speed until smooth. Add dry pudding mixes and remaining 2 cups milk; cover. Blend on medium speed until well blended. Carefully pour into lined bowl; top with whipped topping.
Refrigerate at least 3 hours or until set. Sprinkle with additional undissolved flavored instant coffee just before serving, if desired.