Combine crepe batter: Add the eggs, milk, flour, melted butter, 1 teaspoon vanilla, 1/4 teaspoon salt, and 1/2 cup water to a blender or food processor and blend until smooth, about 30 seconds to 1 minute.
Chill batter: Refrigerate the batter for about 30 minutes to let bubbles subside; it will keep up to 48 hours in the fridge.
Make whipped cream cheese: In a mixing bowl, add the cream cheese and heavy cream. Beat with an electric mixer on high until soft peaks form, about 4–5 minutes.
Sweeten the filling: Beat the 2 tablespoons honey and 1 teaspoon vanilla extract into the whipped cream cheese until just combined. Cover and chill until ready to use.
Prepare lemon sugar: Add 3/4 cup of the granulated sugar and the zest of 2 lemons to a blender or food processor and pulse until the sugar is very fine, about 30 seconds; then stir in the remaining sugar.
Heat the pan: Warm a 12-inch nonstick skillet over medium heat and lightly coat with butter or cooking spray.
Cook crepes: Pour about 1/3 cup of batter into the center of the pan and immediately swirl to thinly coat the bottom. Cook until the edges lift, about 30 seconds, flip and cook 10 seconds more. Transfer to a flat surface to cool. Repeat with remaining batter to make about 10 crepes.
Assemble: Spread a generous spoonful of whipped cream cheese onto a warm crepe, dust with lemon sugar, drizzle with warm honey if desired, and serve with berries.