What good anti-inflammatory painkillers are available for someone with allergies(details inside)?

I would like an anti inflammatory painkiller that really works. As far as I know the only OTC painkillers I can take are ones that are acetaminophen based such as Tylenol®, and that is not much good as an anti-inflammatory. I have had reactions to Aspirin, Ibuprofen, and Naproxen(Aleve®). What else is out there without a perscription?