In a large mixing bowl, whisk together the Greek yogurt, egg, milk, granulated sugar, vanilla extract, and melted butter until the mixture is homogenous.
In a separate bowl, whisk together the flour, baking soda, and salt.
Incorporate the dry ingredients into the wet ingredients using a spatula, folding until just combined; ensure no large pockets of flour remain, but do not overmix.
Heat a non-stick skillet or griddle over medium-low heat and lightly grease with a small amount of oil or butter.
Ladle approximately 1/4 cup of batter onto the griddle for each pancake.
Cook for 2 to 3 minutes until bubbles form on the surface and the edges are set.
Flip the pancakes carefully and cook the secondary side for an additional 1 to 2 minutes until golden brown and cooked through.
Transfer to a warm plate and serve immediately.