In a small mixing bowl, lightly whisk together two large eggs with a fork.
On a small plate, mash the peeled bananas with a fork until they reach a smooth, pudding-like consistency. A few small lumps are ok. Add to the whisked eggs and mix together until well combined.
Using your fork, whisk in the baking powder and vanilla extract until fully combined. Note: The batter will be loose and liquidy, unlike thicker pancake batter.
Heat a griddle or non-stick skillet over medium-low heat. Melt butter to coat the surface.
Drop 2 tablespoons of batter per pancake onto the hot skillet. Leave 1-2 inches between them to allow for easy flipping.
Cook for about 1 minute until the bottoms are golden brown and the edges look set. The edges will still appear slightly loose.
Carefully slide a thin, flat spatula under the pancake. Flip gently. If some batter spills, simple push it back under the pancake with your spatula.
Cook the second side for another 1 minute until golden.
Transfer to a plate lined with a paper towel, and repeat with the remaining batter.
Serve immediately with maple syrup and any additional toppings.