New Ancient World Content in JSTOR

Hadashot Arkheologiyot: Excavations and Surveys in Israel / חדשותארכיאולוגיות: חפירותוסקריםבישראל (Hebrew Journals)
Previous Title: Hadashot Arkheologiyot / חדשותארכיאולוגיות

Coverage:
Vols. 1-108 (1961-1998);
Vols. 109-116 (1999-2004)
Moving Wall: zero
Publisher: Israel Antiquities Authority
ISSN: 1565-043X
Note: Content for this title is released as soon as the latest issues become available to JSTOR.
Note: Beginning with Vol. 116 (2004), this journal has been published online. - See more.

[n.b.: the above is also available open access]

Hebrew Union College Annual (Jewish Studies)

Coverage: Vols. 2-81 (1925-2010)
Moving Wall: 3 years
Publisher: Hebrew Union College - Jewish Institute of Religion
ISSN: 0360-9049 - See more

Previously Missing Issues

Lithic Technology  (Arts & Sciences IX)

Coverage:
Vol. 7, No. 1 April, 1978);
Vol. 9, Nos. 1-3 (April-December, 1980);
Vol. 11, No. 1 (April, 1982);
Vol. 12, Nos. 1-3 (April-December, 1983);
Vol. 13, Nos. 1 & 3 (April & December, 1984);
Vol. 15, No. 1 (April, 1986);
Vol. 16, No. 2/3 (December, 1987);
Vol. 32, No. 2 (Fall, 2007)
Moving Wall: 5 years
Publisher: Maney Publishing
ISSN: 0197-7261 - See more

And see also:

The Ancient World in JSTOR 

AWOL's full list of journals in JSTOR with substantial representation of the Ancient World