LAN Chile, and only LAN Chile, flies from Santiago to Easter Island (and on to Papeete). This is no big aviation secret; schedules are on all the standard sites. The last time I looked, there was no oneworld metal from Papeete to Auckland, but there was a Qantas code share. LAN Chile does fly from Santiago non-stop to Auckland.
[This message has been edited by ajnaro (edited 10-22-2003).]