I see TLV - Rome for as low as around $170 RT, and cheaper if you can leave on shabbos (via the use of many shinuim). However, besides shabbos, there is only 1 other weekly flight.
TLV - Geneva has very good outbound fares, but high return fares. Can probably build an itin for <$250 if you can make the dates work.
TLV - Manchester can be had for under $225.
TLV - Basel has good prices in both directions for around $175 total.
Keep in mind that many of these prices aren't for the summer months (EasyJet doesn't show availability out that far), and they are only this low when booking a few months in advance.