2 cents worth:
Aspirin, Ibuprofen (such as Advil or Motrin), Celebrex, Naproxen, Toradol (Ketorolac) and Meloxicam (among several others) are all in the same family of drugs (Non steroidal anti inflammatories, aka NSAIDS) and work generally the same with similar effects. All are excreted through your kidneys and are therefore rough on them. Many, most notably aspirin, are also rough on your stomach, causing ulcers, etc... if taken too often.
Aspirin (if your stomach can take it) however, has an additional benefit as it acts as a blood thinner and is very often prescribed to proactively and retroactively to treat heart issues. Its also on the Advanced Cardiac Life Support algorithm for treatment of cardiac arrest. Nearly every patient I see in the clinic I work in is on an 81mg (baby) aspirin per day, some a 325mg.
Personally, I can't take it anymore, but I still keep it (a lot of it) in my supplies just in case.
Tylenol (Acetominophen), as I'm sure everyone is aware, is a pain and fever reducer. It is metabolized through the liver, just like alcohol. This "Ranger candy" has severe side effects when abused- your liver basically gets FUBARED. Remember, you can't live without a functioning liver. 3000 mg's per day is what I consider the max safe dose. Some sites and info state 4000 mgs, but I'll stick with what my practice's doc says, since he's an ICU doc.
One of the things people always forget is that many stronger pain meds contain acetominophen- percocet and lortab/lorcet for example. When figuring your total mgs you have to include the amounts you get in those meds. Percocet for example may be 5/325, 7.5/325, 10/325: the 325 is acetominophen. So if your doc has you on percocet 5's 4 times a day thats 1300 mgs. So if you pop additional tylenol, you can quickly get over the safe limit.
Believe it or not, these are one of the most common forms of drug abuse. When I did hospital nursing, it was a rare weekend we didn't get a couple of liver toxicity cases from a tylenol overdose or a kidney failure exacerbated by Nsaid abuse.
Personally, I often alternate small doses of Nsaids (stomach issues) and tylenol if pain is an issue to avoid chances of that kind of damage.
Oh, since I know a lot of us older folks take them, basic BC powders are aspirin with caffiene, Excedrin and Goody powders are aspirin, acetominophen and caffiene.
Hope this helps a little and damn it was more like .25 cents worth.