Wash strawberries and dry thoroughly on paper towels; hull and quarter strawberries and place on a dry paper towel.
Whisk eggs, milk, butter, and vanilla in a bowl; add powdered sugar, salt, and baking powder and combine.
Add flour and mix to make a smooth batter; let stand at least 30 minutes.
Mix strawberries into batter.
Cover a rack with 3 layers of paper towels; heat 1 inch of oil to 375° in a deep flat-bottomed heavy pan (or follow manufacturer's instructions if using an electric fryer).
Dip a heaping tablespoon of batter carefully into hot oil; oil may foam or bubble; do not fry more than 4 fritters at a time.
Fry approximately 1 1/2 minutes on each side, turning with a slotted spoon.
Remove fritters when golden brown and place on prepared rack to drain.
Cover tops of fritters with additional paper towels.
Let cool 5 minutes and roll in granulated sugar (or can dust with powdered sugar).
Serve 3 or 4 fritters on a plate.
Fritters are best when eaten within 30 minutes; if you wait too long to eat them, the batter becomes soggy.