I believe there would be some form of conversion required for a SA license if you held an Aus/NZ lic. To convert the Aus to NZ or vice versa is extremely simple. It might only be a paper exercise, not sure. The 2 countries have aligned their respective authorities. You'd need to check with CASA (Australia) and NZ's regulatory authorities.
I held an Australian ATPL with +500 hours multi pilot time when I converted my Aus lic to a JAA one. So I didn't need to do a "CPL" or "IR" conversion per se, I just did a type rating on a JAR 25 a/c observed by a CAA examiner and that was my IR and lic check done in one go.
The Australian ATPL* (or CPL + CIR and ATPL exam subjects) is good for Asia and African nations. The conversion is usually an Air Law exam or something like that. Possibly an IR check ride etc. Those specific things you'd need to check.
It wouldn't matter whether it was a JAA lic, a CASA lic etc. Most countries expect some sort of conversion to take place. It can be like Europe that expects you to do 14 exams plus about 20 hours flying (IR stuff and maybe CPL stuff) or like Australia that expects a bridging exam, an IR exam, and a CIR flight check. (Maybe a CPL check too.)
The specifics of what you need to convert is dependant on your experience (hours) and actual license held.
I've used my quals to see pretty much all of Australia, now flown in the US (a tiny bit) and all over Europe, North Africa, Middle East, Russia and bits of the Atlantic. No 2 days are the same.