American Airlines has a $900 roundtrip fare in business class (taxes included) for flights between New York and Santiago, Chile. These route through Dallas or Miami — for the Miami flights I’m seeing some availability on a LAN 767, which features lie-flat seats in Business (I flew it a few years back and they’re great). I do see 1 nonstop leaving JFK May 9 and returning May 13th — that’s on LAN metal. This is a ridiculous fare that I’m sure will disappear soon. Keep in mind that you’ll need to get a $160 visa to visit Chile.
The flights book into A for the domestic legs and I for the international flights.
Looking at Kayak there’s not a ton of availability, but it’s there. Saturday night stay is required.