Okay, if you're looking for weird?
Bad perforations. Drives me insane. Any product that is perforated to tear easily, 9 times out of 10 they fucked it up and the perforations may as well not even be there or even make it worse
My vitamin packets: I try to separate one out but then accidentally tear open another vitamin behind it.
Cardboard food packaging: I start tearing a strip to open but then the strip breaks and leaves 3/4 still stuck on the packaging.
Plastic food packaging: "This bag is resealable!" Or, what they mean to say is that if you try to tear it open using the pre-cut line, you'll tear below the resealable part.
Glass bottles/jars sealed with plastic: You're lucky if you can even tell where they perforated it. Try ruining your nail pulling up every edge you can find until maybe it tears eventually (likely not where the actual perforation is, either). Or you can ruin a knife scratching your own tear against the metal cap instead.
Toilet paper: You'd think the sections that are already partially punctured would be the weakest point to tear most easily, but it's actually the middle of the goddamn sheet, as we all know.
Bonus points for other packages where a top film or foil covering a container is weaker than the glue used to seal it around the edges, so you're left with little bits of lid that can't be removed except surgically with tweezers.
If you can't fucking do food packaging right, save some money by not even trying and just tell me I need to use scissors or a knife, because that's what ends up happening most of the time anyways. Fuck.