I live in an 80 year old building that has not so great pipes and probably the cheapest toilet money can buy (we rent, getting the landlord to install a decent toilet would be like pulling teeth)
I always courtesy flush when dropping a #2, one for the main attraction and one for the paper. USUALLY no problems, but I have plugged it during step #1 a few times. In that case you just have to start getting rowdy with the plunger, as gross as it is. If just the paper is plugging it, you are using way too much paper.
Also, if the toilet is old and you have hard water, the tube between the tank and the bowl may be plugged.
BTW, tankless toilets are where it's at. We had one in our old apt with the commercial style lever valve. That thing could not be plugged by any means. I miss that old [censored].