There's an offer on at the moment with this Russian based carrier with an excellent reliability and safety rating..
Very cheap discount packages from LHR to Tel Aviv (as in the link), Dubai and Moscow. Other cities also available..
Example fares start at £199 inc taxes.. These are date-specific so you need to check the availability.
Prices include inflight food, baggage and inflight entertainment. Tax and fuel surcharge also included. E-ticket.