In a large mixing bowl, whisk together the flour, sugar, baking powder, salt, nutmeg, and cinnamon.
In a separate bowl, whisk together the milk, eggs, melted butter, and vanilla extract.
Pour the wet ingredients into the dry ingredients and stir until just combined. The batter should be slightly lumpy.
Heat a non-stick skillet or griddle over medium heat and lightly grease with butter.
Pour 1/4 cup of batter onto the skillet for each pancake. Cook until bubbles form on the surface and the edges look set, about 2-3 minutes. Flip and cook for another 1-2 minutes, or until golden brown.
Repeat with the remaining batter, greasing the skillet as needed.
Serve the pancakes warm with butter, maple syrup, or a sprinkle of additional cinnamon and nutmeg.