Top Reasons Why NSAIDs Should Be the New Hydrocodone. by Dr. Sharon Orrange on October 21, 2014 at 2:51 pm. Pain is complex, so there is no “one pill fits all” treatment. Hydrocodone is the most prescribed medication in the United States, also marketed in combination with acetaminophen (Tylenol) under the brand names Vicodin, Norco and Lortab.