Use code: FAMILYOFFER
Star Alliance carrier Aegean is offering free flights for up to 8 kids under the age of 12 with 1 paid adult ticket.
This offer is valid for Aegean economy or business class flights booked by March 2nd for travel between march 15th until October 31st.
While the base fare for up to 8 kids will be free, you will still have to pay for some airport taxes.
Unfortunately Aegean does not fly to the US, but they do serve Tel Aviv:
Post what deals you find!