well first of all I am on flyertalk, so I am aviation nerd

I also want to spend 24 hours in AKL and then head to TPE for 3 days (yes. I know. I am crazy for flying three 13 hour flights in like 5 days but I love flying. In Feb I fly to SYD from SFO in Qantas Y to spend 24 hours in SYD and then flew back on UA in J). I was supposed to be on UA (which I used my pluspoints and was in biz, but had to change the dates so I didn't want to cancel the trip (now in coach in NZ). I land at 6am in AKL from SFO, then leave the next morning at like 10am to TPE via HKG (they didn't have the direct AKL-TPE on my new date either )
Hopefully that makes a little sense
Happy to answer any more questions (again, thank you so much for the help).