It depends on why I'm taking it, I guess. Acetaminophen is my go-to simply because it interacts less with my prescription medications. Ibuprofen is more for migraines or sinus headaches, though I find naproxen works better and I don't have to take as much so I rarely (if ever) take ibuprofen any more.
T3s also work pretty well for migraines if I don't take them too often.
I've only ever had oxycodone once for tooth pain, and it was barely enough to stave that off. I still had a portion of the bottle lying around after the fact, however, and if I were to point at a favourite I would absolutely pick oxycodone. I felt fantastic taking that and I'll admit it's not something I'd leap on the chance to get again. I can see how people springboard off that to stronger stuff.
I generally don't take any painkiller unless I absolutely need it, though.