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 ½ of the egg-milk mixture and beat the batter is light and fluffy. Add remaining egg-milk mixture and vanilla pudding and mix just until combined.
Take a spatula and scrape the sides of the bowl.
Lightly spray cupcake baking cups with non-stick cooking spray. Fill cups ⅔ or ¾ full.
Bake for 16-20 minutes.
Let cupcakes cool. Frost with vanilla buttercream frosting.
To make 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.
Once the cupcakes have cooled, frost with vanilla buttercream frosting.