One current example is JFK to Milan on Emirates for two people in April. This is currently selling for as low as $438 per person, under 6 cents per mile. Since you can earn miles on this flight, like most paid fares, it is like also getting at least 1/3 of the fare back in rewards credits.
Another great fare you can get right now is Scandinavia in November on United, just in time to see the Northern Lights. Christine and I booked the direct flight from EWR to Oslo for her birthday and Thanksgiving at $447 round trip, all in. Stockholm was also really well priced.
One on Mileage Runs today was NYC to Anchorage in June for $404. This is on US Airways and is 4.3 cents per mile, meaning you get almost half back in miles!
I have never been to Alaska, but I hope this price comes back in 2016 or 2017.
Three of my favorite sites to keep an eye on the best fares are