Here's a sale from an airline that doesn't put them out on the regular. Royal Jordanian is having a Super Saver Sale on flights from North America to its hub in Amman and then beyond to the Persian Gulf and Mediterranean.
Flights are valid from September 16 through March 15, 2019, with a purchase window for tickets through next week, July 12, 2018. Travel days will vary by route, but I had the most luck with Tuesday and Thursday departures. Flights departing Detroit are a little harder to find than the rest but they are out there on certain dates. The Royal Jordanian site does hiccup here and there but you should be able to find them with the flexible date search.
As for restrictions, there is a maximum stay of 45 days and a blackout period during Christmas and New Year.
These are some excellent deals to destinations that don't always get price cuts, especially to Aqaba, where you can dive the Red Sea and take a trip up to the modern world wonder - Petra.
Fares include:
Montreal to Beirut $537 roundtrip (priced in USD)
Montreal to Tel Aviv $537 roundtrip (priced in USD)
Montreal to Dubai $544 roundtrip (priced in USD)
Montreal to Kuwait City $544 roundtrip (priced in USD)
Montreal to Jeddah $548 roundtrip (priced in USD)
Detroit to Aqaba $549 roundtrip
Detroit to Amman $550 roundtrip, nonstop
Detroit to Istanbul $559 roundtrip
Detroit to Abu Dhabi $560 roundtrip
New York-JFK to Tel Aviv $560 roundtrip
New York-JFK to Dubai $559 roundtrip
New York-JFK to Riyadh $559 roundtrip
New York-JFK to Beirut $559 roundtrip
New York-JFK to Aqaba $549 roundtrip
Chicago-ORD to Abu Dhabi $559 roundtrip
Chicago-ORD to Istanbul $559 roundtrip
Chicago-ORD to Dubai $559 roundtrip
Chicago-ORD to Jeddah $559 roundtrip
Chicago-ORD to Amman $550 roundtrip, nonstop