Just found out I didnt know all of the budget EU carriers that fly into TLV. Perhaps we can compile a list of all flights flying in and out of TLV. I will later organize it according to alliances.
UA: EWR - TLV twice daily
Brussels Airlines: BRU - TLV Once daily.
Delta: JFK- TLV once daily. Departs TLV to JFK 12:40 AM
Easyjet: LGW/BSL/GVA - TLV
BA: LHR- TLV
Iberia: MAD/BCN - TLV
Nikki: VIE - TLV
Jet2: MAN-TLV
Royal Jordanian: AMM-TLV
Turkish Airlines: IST - TLV
Lufthansa: MUC/FRA - TLV
Swiss: ZRH/GVA - TLV
KLM: AMS-TLV
Air Berlin: TXL - TLV
LOT: WAW-TLV once daily
Austrian: VIE - TLV
Air France: CDG/NCE - TLV
Korean Air: ICN-TLV
JetAirFly:BRU/LEG - TLV
This is all of the top of my head, please add and Ill try to arrange it later.