Preheat the oven to 375℉. Grease cookie sheet or prepare with parchment paper.
In a small bowl or measuring cup, combine milk and vinegar, stir, and let sit 5 minutes.
Mix together the flour, baking powder, salt, garlic powder, black pepper, and basil (all dry ingredients) together in a medium sized bowl.
Add shredded cheddar cheese to the dry ingredients.
Add milk mixture and oil, then mix dough until just combined and all the flour pockets are gone. Don't mix too much, it will make the biscuits less flaky and fluffy.
Using a 2-3 Tablespoon dough scoop, portion the dough onto baking sheet into about 16 balls. You can sprinkle a little extra cheese on top of each biscuit if you like for presentation.
Bake for 15-18 minutes, then brush with melted butter. Tops should barely be golden brown. Enjoy!