LAN Airlines have special Travel Expo deals at the Sydney Convention Centre this weekend — 1611 return to Santiago and 1627 return to Lima. Normally these are 2250+ and 2650+ respectively!!! Travel is for May to Oct this year.
There are also other expo only deals from other airlines and travel groups.
New Zealanders pay these prices with LAN even now if you book through Jetabroad (but always remember to double check for the cheapest price in a month with Skyscanner! - which is a little too slow to update for my liking…).
The crazy thing is that New Zealanders have to board the same ex-Sydney LAN flight, after having to fly up from New Zealand at 6 in the morning on a Qantas/LAN/etc code-share and still pay $600 less than us. Unbelievably, you can actually save time AND money flying from Sydney to New Zealand then flying back to Sydney compared with the next cheapest flight from Sydney (Emirates came in at around $1940 and takes 40-60 hours flying through Dubai!). You can easily get return tickets to New Zealand for $400 or less right now (if you really want SYD-Auckland Meal+Movie LAN tickets, try Zuji (and of course Skyscanner) for SYD-Auckland LAN tickets to avoid paying the LAN website's higher direct prices). I just booked return tickets with Aerolineas Argentinas (sp?) ex-Auckland direct 2 days ago for ~$1450! (but the prices are going up…).
If you want to go to Lima you can also try booking separate return legs - one return ticket SYD-Los Angeles, (probably with Virgin, Qantas or Delta) and another return ticket to Lima (the cheapest unfortunately are probably indirect flights with the likes of Aeromexico?). Los Angeles is a cheap hopping point for central American countries - Costa Rica comes to mind :)
And if you're paying for the flight leaving from Sydney you can save $1 if you book with Flight Centre's lowest airfare guarantee…