In a large mixing bowl, whisk together the all-purpose flour, granulated sugar, baking powder, baking soda, and salt.

In another bowl, combine the buttermilk, egg, melted unsalted butter, and vanilla extract. Mix until all the wet ingredients are well combined.

Pour the wet ingredients into the dry ingredients and stir until just combined, being careful not to overmix.

Preheat a griddle or non-stick skillet over medium-high heat and lightly grease it with butter or cooking spray.

Using a 1/4-cup measuring cup, pour the pancake batter onto the hot griddle.

Cook the pancakes until bubbles form on the surface and the edges appear set, about 2-3 minutes.

Flip the pancakes with a spatula and cook the other side until golden brown, about 2 minutes more.

Transfer the cooked pancakes to a warm plate and cover them with a clean kitchen towel to keep them warm.

Serve your Old-Fashioned Pancakes with your favorite toppings like maple syrup, fresh berries, whipped cream, or powdered sugar.