Combine strawberries and 1/4 cup sugar in a small bowl; cover and let stand 1 hour. Combine 1/2 cup sugar, milk, and cream cheese in a medium bowl; beat at medium speed of a mixer until smooth.
Cut cake horizontally into 3 layers using a serrated knife; place bottom layer, cut side up, on a serving plate. Brush with 1 tablespoon liqueur, and spread half of cream cheese mixture over cake. Spoon one-third of strawberries over cream cheese mixture using a slotted spoon. Repeat layers, ending with cake and liqueur. Spread whipped topping over top and sides of cake. Cover; chill 30 minutes. Arrange remaining strawberries on top of cake before serving; sprinkle with almonds.