Painkillers. Paracetamol is often one of the first medications recommended for back pain, although some people find non-steroidal anti-inflammatory drugs (NSAIDs) , such as ibuprofen, more effective. A stronger painkiller, such as codeine, is also an option and is sometimes taken in addition to paracetamol.aracetamol is often one of the first medications recommended for back pain, although some people find non-steroidal anti-inflammatory drugs (NSAIDs) , such as ibuprofen, more effective.