For the crust: In a medium bowl, whisk together the all-purpose flour, almond flour, and salt. Set aside. In a stand mixer fitted with the paddle attachment, beat the butter and sugar on high speed until light and fluffy, 2 to 3 minutes. Beat in the honey and vanilla. With the machine running, gradually add the dry ingredients and blend until incorporated. Transfer the mixture to a work surface and knead into a dough. Wrap the dough in plastic wrap and refrigerate for 30 minutes.
Place an oven rack in the center of the oven. Preheat the oven to 350 degrees F. Line a baking sheet with parchment paper or a silicone liner. Set aside.
On a lightly floured work surface, roll the dough into a 12-inch diameter circle, about 1/4-inch thick. Using a 2 1/2-inch round cookie cutter, cut out circles of the dough and arrange on the prepared baking sheet. Gather any scraps of dough and gently knead together. Roll out until 1/4-inch thick. Cut out additional circles of dough and place on the baking sheet (there should be a total of 15 to 18 circles). Bake until slightly golden around the edges, 10 to 12 minutes. Cool on the baking sheet for 15 minutes.
For the berries: In a medium bowl toss together the strawberries, blackberries, blueberries, lemon juice, and sugar. Let the mixture stand for 30 minutes.
For the ricotta topping: In a medium bowl, mix together the cheese, powdered sugar, and lemon zest.
To assemble the tartlets: Spoon 1 1/2 tablespoons of the ricotta topping in the center of each crust. Using a small spoon, make a shallow well in the ricotta topping and fill with a little of the berry mixture. Arrange on a platter and serve.