Mash 1 and 1/2 of the bananas in a small bowl. Set it aside.
Combine the flour, sugar, baking powder, baking soda, and salt in a large bowl.
Sift the ingredients together to get out any lumps and help the pancakes be fluffier.
Add the eggs to a bowl and whisk them.
Add the mashed banana, milk, melted butter, and vanilla extract and stir them together.
Add the wet ingredients into the dry ingredients and fold them together until combined. The batter will still be a little lumpy. (Add more milk if the batter is still too thick)
Let the batter rest while you heat the pan.
Slice the remaining banana in about 1/4 inch slices and set aside.
Preheat a griddle or nonstick pan over medium low heat.
Grease the pan with additional butter.
Scoop about 1/4 cup pancake batter at a time onto the griddle.
Place a few banana slices on top of each pancake on your griddle.
When the pancake batter starts to bubble, carefully flip with a spatula.
Cook until both sides of the pancake are golden, and the middle is cooked through.
Serve hot with your choice of toppings.