Make the batter: In a blender or mixing bowl, combine flour, milk, eggs, melted butter, sugar, vanilla, and salt. Blend or whisk until completely smooth. Let rest 10 minutes while you prep the filling.
Macerate strawberries: Toss 2 cups sliced strawberries with lemon juice and 1 tablespoon sugar. Set aside to release juices.
Make the cream filling: Beat softened cream cheese until smooth. Add powdered sugar and 1 teaspoon vanilla; beat to combine. With mixer running, slowly stream in cold heavy cream and whip to medium peaks. Chill until ready to use.
Cook the crepes: Heat a nonstick skillet (8 to 10 inch) over medium heat. Lightly butter the pan. Pour about 0.25 cup batter into the center and quickly swirl to coat in a thin layer. Cook until the top looks set and the bottom is lightly golden, about 1 to 2 minutes; flip and cook 20 to 30 seconds more. Transfer to a plate and repeat, buttering as needed. You should get about 12 crepes.
Assemble: Spread about 2 tablespoons cream filling over a crepe. Spoon on some macerated strawberries (drained) and roll up or fold into quarters.
Serve: Dust with powdered sugar and top with the remaining fresh sliced strawberries. Enjoy immediately.
Make-ahead tip: Cook crepes, stack with parchment between them, and refrigerate up to 2 days or freeze up to 2 months. Bring to room temperature before filling.
Notes
For extra tender crepes, rest the batter in the fridge up to 1 hour. If the batter seems thick after resting, whisk in a splash of milk to reach heavy-cream consistency.