In the chilled bowl of a stand mixer, fitted with a whisk attachment, whip the heavy cream on high until stiff peaks form. Transfer whipped cream to another bowl and return bowl to mixer.
Replace whisk attachment with paddle attachment. Beat the cream cheese on high until smooth and creamy. Add the powdered sugar, a 1/2 cup at a time, mixing well after each addition. Add the lemon juice, zest, vanilla, and almond extract. Start mixer on low to prevent lemon juice from splashing out, then increase speed to high and beat mixture until smooth.
Add about a third of the whipped cream, and mix until just combined. Remove bowl from mixer and fold in the rest of the whipped cream with a rubber spatula.
Pour the filling into the crust and use a rubber spatula or butter knife to create a smooth surface. Pour the cooled raspberry topping evenly on top. Chill in the refrigerator for at least 8 hours or overnight.
If desired, pipe a border of whipped cream along the edges of the pie, and garnish with fresh raspberries. Slice, serve, and enjoy!