In a medium mixing bowl, whisk together eggs, milk, melted butter, and vanilla extract until well combined and frothy.

In a large mixing bowl, combine flour, brown sugar, baking powder, ground cinnamon, and salt. Stir until evenly mixed.

Pour the wet mixture into the dry ingredients, folding gently until just combined. Fold in chopped ripe bananas.

In a large pot, heat enough vegetable oil to 350°F, using a thermometer for accuracy.

Drop fritter batter into hot oil, frying for 4-5 minutes until golden brown, turning occasionally.

Remove fritters with a slotted spoon and place on paper towels to drain excess oil.

Whisk together powdered sugar, milk, vanilla extract, and ground cinnamon until smooth for the glaze.

Dip each warm fritter into the glaze and place on a wire rack to cool slightly before serving.