In a large bowl, thoroughly mash the overripe bananas until mostly smooth with a few small lumps remaining.
Add the room-temperature eggs, milk, melted butter, Greek yogurt, and vanilla extract to the bananas. Whisk vigorously until fully emulsified.
In a separate bowl, whisk together the flour, baking powder, baking soda, and salt.
Pour the wet ingredients into the dry ingredients. Fold gently with a spatula until just combined. Do not overmix; lumps are fine. Let the batter rest for 10 minutes.
Preheat a griddle or large skillet over medium-low heat. Lightly grease with clarified butter.
Pour 1/3 cup of batter per pancake onto the griddle. Cook for 2-3 minutes until bubbles form and edges look dry.
Flip confidently and cook for an additional 1-2 minutes until deeply golden brown. Serve immediately on warmed plates.