Preheat the oven to 350°F. Be sure to adjust the oven rack to the lower-middle position.
Grease a 9x5 inch inch light colored loaf pan with softened butter. Evenly spread a thin layer of butter over the interior surface of the loaf pan. Be sure to cover the bottom and sides, including the corners. Add a tablespoon or two of all-purpose flour to the pan. Tilt and rotate the pan, tapping it gently, to distribute the flour evenly across the greased surface. The flour will stick to the butter, creating a light, floury coating. Hold the greased and floured pan upside down over the sink or a trash can to allow any excess flour to fall out. Gently tap the pan to help remove loose flour.
Whisk the sugar and oil in a large mixing bowl together.
1/2 cup vegetable oil, 1 cup granulated sugar
Add in the eggs, 1 at a time, whisk until mixed.
2 large eggs, room temperature
Then add in the mashed bananas, sour cream, and vanilla extract.
1 1/4 cup mashed ripe/over ripe bananas (~3-4 small bananas), 1/4 heaping cup sour cream, room temperature, 2 tsp. vanilla extract
Sift in the dry ingredients and mix with a rubber spatula just until combined. Do not over mix.
2 cups all-purpose flour, spooned and leveled, 1 tsp. baking soda, 1 tsp. kosher salt, 1/2 tsp. ground cinnamon
Using a hand mixer, combine all ingredients for cheesecake filling until smooth in a medium sized mixing bowl.
6 oz. full-fat cream cheese, room temperature, 1/4 cup granulated sugar, 2 Tbsp. sour cream, room temperature, 2 Tbsp. all-purpose flour, 1 large egg, room temperature, pinch of salt
Pour a little more than half, about 2/3rd of the banana bread batter down in the prepared loaf pan, spoon cheesecake filling over it in a smooth even layer, then top with remaining batter.
Bake ~60 minutes. Check around the 30ish minute mark, tent with foil if browning too quickly.
Cool in loaf pan for 10-15 minutes, then invert on a wire rack to cool completely. This is important to the cheesecake filling can set up.
Slice and enjoy!