Main benefit for acetaminophen(the American name for paracetamol) is that you can use it on top of an NSAID. That’s something you can’t do with aspirin. It’s good to stagger the dosage for something like a toothache or take both at once for a headache (this is what most OTC migraine medications are, an NSAID[usually aspirin], acetaminophen, and caffeine in one pill).
Try taking it with a dose of acetaminophen. Those two have a synergistic effect that is better than either alone and is often used post surgery for that reason.