Here's what rhymes with nonsteroidal.

Consider these alternatives

ibuprofen / chosen steroidal / colloidal amitriptyline / skyline antihypertensive / extensive corticosteroids / steroids topiramate / late antipsychotic / logic diclofenac / hydroxydiclofenac zidovudine / seen cephalosporins / since ketoconazole / whole inflammatory / story antimalarial / burial progestins / since immunosuppressant / present imipramine / nine antianxiety / variety