Blend flour, eggs, milk, water, melted butter, sugar, vanilla, and salt until smooth; rest batter 10 minutes.
Meanwhile, beat cream cheese, powdered sugar, and zest until smooth and fluffy; set aside.
Heat an 8-inch nonstick skillet over medium and lightly butter; pour about ¼ cup batter in center and immediately swirl into a thin, even circle.
Cook 1-2 minutes until edges lift and bottom is lightly golden; carefully flip and cook another 30 seconds. Transfer to a plate.
Repeat, stacking on plate, to make about 8-10 crepes.
Spread 2-3 tablespoons filling down each center; top with berries.
Fold sides over filling or roll like a burrito; place seam-side down on plates.
Drizzle with warm maple syrup or dust with powdered sugar; serve immediately while warm.