ORD-TLV for $700
NYC-TLV for $750
MIA-TLV for $800
LAX-TLV for $850
I didn't check that many dates, but did work for random ones in Feb/Mar.
All bookable on BA ticket stock, with a stopover in LHR, but if you search carefully, the TATL legs can be on AA metal.
(HT: flyertalk.com)