01 - Preheat oven to 350°F. Grease and line three 8-inch round cake pans with parchment paper.
02 - In a medium bowl, whisk together flour, baking powder, baking soda, and salt.
03 - In a large bowl, beat butter and sugar until light and fluffy, approximately 3 to 4 minutes.
04 - Add eggs one at a time, beating well after each addition. Mix in lemon zest, lemon juice, and vanilla extract.
05 - Add flour mixture in three parts, alternating with milk, beginning and ending with flour. Mix until just combined.
06 - Divide batter evenly among prepared pans and smooth tops. Bake for 25 to 30 minutes, or until a toothpick inserted in the center comes out clean.
07 - Cool cakes in pans for 10 minutes, then turn out onto wire racks to cool completely.
08 - In a small saucepan, combine raspberries, sugar, and lemon juice. Cook over medium heat until berries break down, about 5 minutes. Stir in cornstarch slurry and simmer 1 to 2 minutes until thickened. Cool completely.
09 - Beat butter until creamy. Gradually add powdered sugar, lemon juice, lemon zest, and salt. Beat in cream 1 tablespoon at a time until smooth and fluffy.
10 - Place one cake layer on a serving plate. Spread with half the raspberry filling, leaving a 1/2-inch border. Top with a thin layer of buttercream. Repeat with second cake layer and remaining filling. Place final cake layer on top.
11 - Frost top and sides with buttercream. Decorate with fresh raspberries and lemon slices or zest as desired. Chill 30 minutes before slicing for neat layers.