Nonsteroidal Anti-Inflammatories Used And Approved In Australia? In Australia nonsteroidal anti-inflammatories are both prescription and over-the-counter medicines. The below is a brief list of some examples of NSAIDs available here from a pharmacy that may be over the counter or require a prescription from your doctor: Acetylsalicylic acid: More commonly known as Aspirin. Aspirin will… Read More >