In a small bowl, whisk together eggs, buttermilk, oil, and vanilla.
In a stand mixer, stir together flour, sugar, baking powder, and salt.
Beat the butter into the flour mixture, one cube at a time. Continue to beat until it resembles coarse crumbs.
Add the 1/2 of the egg-milk mixture and beat the batter is light and fluffy. Add remaining egg-milk mixture and mix just until combined.
Lightly spray two 8-inch or 9-inch cake pans with non-stick cooking spray. Pour batter evenly between the cake pans. Bake for 20-24 minutes, depending on the depth of cake pans. Remove cakes from oven when toothpick or cake tester comes out clean. Let cool before removing from pans.
Vanilla Buttercream Frosting:
In mixing bowl, cream together butter and cream cheese for 4 minutes.
Add powdered sugar and beat for 2 more minutes. Add vanilla and milk (if needed).
Once the cake layers have cooled, frost with vanilla buttercream frosting.