This doesn't quite match up to the best of you, but I seem to remember when my grandparents went to New Zealand they went something like this...
Out: LHR - SFO - PPT - (AKL?) - CHC
Back: CHC - PER- (SIN?) - BOM - LHR
This was with Air New Zealand using a 747-200. Somehow I think this took more than 24 hours.
I may be slightly off on the stops though. This was 35+ years ago and I was a wee bairn at the time...
Personally the best I've done is LHR - CDG - ORY (ground transport) - RUN or CHC - AKL - LAX - LHR. The last one took WAY more than 24hrs because the stupid idiot travel agent booked me onto a 10am tranfer from CHC to AKL for a flight that didn't leave until 22:00...