WWII ammo, no problems at all.
There is some talk about stability of the priming compound, the older corrosive stuff (same as Russian military) is supposed to last longer.
I have not had anything not fire, WWII 303 Brit sometimes hang fires but that is more a product of the cordite, which is not a gun powder as we know it. I have been told old rimfire priming compound can go bad but I have yet to test rimfire older than 70s era and they all went bang.