As I recall, I've never been prescribed Tylenol, but I have been prescribed Motrin (in the 800 mg form) on more than one occasion as an anti-inflammatory. For me, aspirin works just fine for minor headaches (with the dual use of being available for heart attacks) although I probably should add Tylenol to the kit for others who are aspirin intolerant.

That said, when the side effect of one drug is an ulcer and the side effect of another is death, I'll risk getting an ulcer. YMMV