Preheat oven to 350 degrees. Line cupcake pans with paper liners.
Combine flour, sugar, baking powder, and salt in a large mixing bowl. Add shortening, milk, and vanilla. Beat for 1 minute on medium speed. Scrape side of bowl with a spatula.
Add eggs to the mixture. Beat for 1 minute on medium speed. Scrape bowl again. Beat on high speed for 1 minute 30 seconds until well mixed.
Spoon cupcake batter into paper liners until 1/2 to 2/3 full.
Bake for 20 to 25 minutes or until toothpick inserted in center comes out clean.
Cool 5 minutes in pans then remove and place on wire racks to cool completely.
Once cupcakes are completely cooled, frost with your favorite frosting recipe or decorate as you desire.