These are species with at least one recorded territory in Israel, not a national checklist: a bird list from eBird or Avibase is more complete. The counts follow recording effort as much as wildlife, so a country with more visitors and more naturalists will show more of both.
The species with the most open occurrence records in Israel, among those a photograph exists for. Most recorded is not most numerous: it rewards animals that are common, conspicuous and live where people go.

Pycnonotus xanthopygos

Prinia gracilis

Corvus cornix

Spilopelia senegalensis

Cinnyris osea

Vanellus spinosus

Acridotheres tristis

Psittacula krameri

Galerida cristata

Streptopelia decaocto

Halcyon smyrnensis

Garrulus glandarius
The reference database has no regions filed under Israel.
The field guide covers Israel on the map, but none of its species have an entry written for them yet.