Preheat your oven to 350°F (175°C) and grease a loaf pan or line it with parchment paper.
In a mixing bowl, mash the ripe bananas using a fork until smooth.
Add the melted butter, sugar, eggs, eggnog, and vanilla extract to the mashed bananas. Mix well.
In another bowl, whisk together the flour, baking soda, baking powder, salt, nutmeg, and cinnamon.
Gradually mix the dry ingredients into the wet ingredients until just combined.
Pour the batter into the prepared loaf pan, smoothing the top with a spatula.
Bake for 60-70 minutes, checking for doneness at the 60-minute mark.
Allow the bread to cool in the pan for about 10 minutes, then transfer it to a wire rack to cool completely before slicing.