There are American Airlines flights from Sydney to New York city’s Newark airport for less than A$1,000 – specifically from A$994.
You can find the sub A$1,000 fares scattered around August/September/October/November 2016 - perfect for the Northern Hemisphere fall
http://travelhackables.com/2016/04/12/american-airlines-sydn…
Can the layovers be used as a stopover?
Also, have a look at Bestjet, I found a similar price ($1007) for the October dates (10-20/10/16) flying Virgin and with only 1 stop both ways (LAX) on the SYD-EWR route.
It was actually cheaper ($1004) to fly BNE-EWR (via SYD & LAX) on Virgin!! I am pretty tempted!