In a large bowl, whisk the olive oil and honey together. In a separate bowl, whisk the eggs and milk together. Add it to the olive oil + honey mixture.
Add in the mashed bananas and vanilla extract; stir well.
Stir in the dry ingredients with a large wooden spoon until smooth and well-incorporated.
Bake for 40-45 minutes, checking for doneness with a toothpick. It is done when the toothpick comes out clean.