Combine the flour, sugar, salt and baking powder into a mixing bowl and combine.
In a separate bowl, mix together the egg, milk, vanilla, and 2 tbsp melted butter.
Pour the egg mixture into the dry ingredients and mix until just combined. Batter may appear lumpy, but it's important to not overmix here, as this is part of the way we are going to get fluffy pancakes. Let the batter rest for 10 minutes.
Heat your skillet to a medium heat and coat with remaining 1 tbsp of butter. With a small ladle or measuring cup, drop the batter onto the warm skillet and cook until bubbles form on the surface. Flip and cook until the underside is golden brown.