The stork usually passes through Eretz Yisrael during the week of parashas Shemini in spring and during the week of parashas Re'eh in the fall; these are the two parashiyos in which it is mentioned (Zimras HaAretz V'HaShamayim on Perek Shirah)
(Seasons of Life: The Reflection of the Jewish Year in the Natural World, Nosson Slifkin)
parashas = weekly Torah portion
Jerusalem in Autumn...Eagles are seen in large numbers along this land corridor between continents. As many as 200,000 of several different kinds will pass over Israel in four days.
(VHS tape: Birds of the World: Eagles: The Majestic Hunters)
Israel's bird population is among the most varied in the world. Tristam's (Survey of Western Palestine) survey lists over 350 species. Some of these are year-round residents, others visit only briefly during their autumn-spring migrations. Every year, for example, hundreds of thousands of raptors from E Europe fly S over Israel on their way to winter homes in Africa...Among these migrants are the white stork...and the buzzard...Israel's raptor population, though now much diminished by pesticides and poisons, include the bearded, black and griffon vultures...the golden, imperial, spotted and tawny eagles, and lanner and peregrine falcons.
(Anchor Bible Dictionary)
See also Gog and Magog