Thanks to OJ778 for pointing this out on Flyertalk
Right now, there’s a mistake fare on Transaero, a Russian carrier, between New York City JFK and Tel Aviv TLV/Beijing PEK. The flights are round-trip, taxes included. The fare to Tel Aviv is $382.28USD, and to Beijing for $465.39USD.
The flights connect in Moscow. Note that Canadians and Americans do not need a visa to transit in Moscow 🙂
You can book this on Airfare.com. The flights to Tel Aviv have fairly wide availability, whereas the flights to Beijing are more restrictive. I’m not really seeing a way to widely search applicable dates, as the fare isn’t loaded on ITA Matrix or Google Flights.