That depends on the actual implementation of the checking. For example despite passports having chips, essentially no passport control is going to deny you entry if your genuine passport has a broken chip.
So currently at least, a good forged passport will work everywhere except on e-gates. Although on the other hand actually procuring for example a decent forged polycarbonate passport (which most new EU passports are) is next to impossible, the printing techniques used require such expensive machinery that criminals simply don't have access to them.
I've held probably thousands of forged passports, never seen a decent polycarbonate one. Perfect EU id cards you can find everywhere, a lot of them still printed on Teslin.
