The cheapest flights from Israel might happen in an indirect way.
If you have the time to travel, then taking an indirect flight will get you the cheapest flights from Israel.
Indirect does not mean the normal definition of a layover. If your destination is Israel, if you fly to somewhere in Europe, wherever the cheapest flight at the time is, then you can take connecting flights days later to Israel, which many times actually ends up being the cheapest flights from Israel. Then you can charter flights from Israel on the way back and spend more time in Europe. This way, you are actually getting two vacations in one with your cheapest flights from Israel by traveling to Europe en route to Israel.
Since flexibility seems to be the way to get tickets to Israel for cheap, another way to get the cheapest flights from Israel is by booking your cheap flight from Israel during the off season. Off seasons are basically when it is not a touristy time. Everyone likes to travel during the holiday breaks, so staying away from traveling during winter vacation, spring break, and summer vacation will ensure getting the cheapest flights from Israel. Since Israel is a holy place, many travelers like to visit Israel and do private Israel tours during major holidays (Christmas for the Christians, Passover, Sukkot, Hanukkah for the Jews). Therefore, if you do not travel to Israel during the holidays, you will have a better chance of finding a cheap flight from Israel.
The last way to find a cheap flight from Israel is to wait for last minute deals to Israel. This, of course, could backfire since waiting until the last minute might leave you with nothing available, charter flights from Israel or not. All in all, though, if you can be flexible when booking your vacation to Israel, you can normally find the cheapest flights from Israel. Flexibility with your entire trip can keep expenses low as well. For example, if you hoped to stay in the Carmel Spa, but found out that it was over $1,000 a day to stay there (with all of the treatments, etc.), then perhaps being flexible and taking holidays on Red Sea will end up be considerably less money.
If, of course, flexibility is not something you can afford, you can still find the cheapest flights from Israel if you know where to look and how to look. Try to compare the prices of the cheapest flights from Israel on all of the booking websites online and even look at the different airline websites before booking your cheap flight from Israel. Travel during the week, if you can. Take layovers, even if they are for a couple of hours, since a flight with a layover is always cheaper than a direct flight. Fly into and out of less popular airports, even if that adds some travel time to your driving. And lastly, try to join the frequent flyer mile program of airlines you fly with often. All of these different options can help you book the cheapest flights from Israel if flexibility is not something you have.