Place 2 cups of berry slices and granulated sugar in a blender or food processor; process until smooth. Set strawberry puree aside.
Combine ricotta and next 4 ingredients (ricotta through vanilla) in a medium bowl; stir well with a whisk. Spoon 2 tablespoons cookie crumbs into each of4 parfait glasses. Top each portion with 2 tablespoons strawberry puree, 1/4 cup strawberry slices, and 3 tablespoons ricotta mixture; repeat the layers. Drizzle the remaining strawberry puree over each serving. Chill for 2 hours. Top each parfait with 2 tablespoons whipped topping and 1 1/2 teaspoons almonds.