Recommended dosage, which most people take more of – take two every couple of hours, and you're going to need a new liver. And when you're in pain, it's easy to loose count.
Which is why in some countries, the maximum amount allowed over the counter is 16ct or so (sometimes a bit more when bought from a pharmacist who can make sure the buyer is aware of the dangers). It is irresponsible to sell a 1,000 ct bottle of pills, yet the grocery store near my house does, over the counter even.
I just looked at my ibuprofen bottle and it says to take one 200mg tablet every 4-6 hours. That's 800-1200mg per day, which is not something to worry about.
Certainly if you ignore that and take a higher dose or take it more frequently you can have problems, but assuming you don't have existing liver issues and aren't drunk all the time, you need to take like 5x (or more) the recommended dose to run into any trouble. If you're that stupid, you deserve what's coming to you.
the idea is to reduce risk, not eliminate it. thinking is, if you need 1000ct of any drug, you should probably see a health professional first; if you're going through the effort (and extra cost) of buying 63 packs of it, then there's probably nothing that could be done to stop you from whatever you are trying to do.
Lots of people take 2 Extra Strength Tylenol at at time. If you do that every 4 hours (instead of 6), you're looking at 12 pills a day. Add to that a few doses of Nyquil or some other multi-medicine that has Tylenol in it, and it's possible to get up to a toxic dose.
It's really hard to accidentally eat 20 pills, especially when the usual does is about 4 per day...