A collection of some online available* journals (constantly updated)
*Includes “partly online available” and “online available depending if subscribed to (individually or by your library)“
Acta Orientalia Vilnensia (ISSN 1648-2662)
Bulletin de l’École française d’Extrême-Orient (ISSN 1760-737X )
Bulletin of the School of Oriental and African Studies (ISSN 0041-977x, current volume for free here)
Cahiers d’Extrême-Asie (ISSN 076-1177)
eJournal of Indian medicine (eJIM)
Indologica Taurinensia (IT, ISSN 1023-3881)
Journal asiatique (JA, ISSN 0021-762x)
Journal of the Royal Asiatic Society (JRAS, ISSN 13561863)
International Journal of Jaina Studies (IJJS, ISSN 1748-1074)
Journal of the International Association of Buddhist Studies (JIABS, ISSN 0193-600X )
Journal of the International Association of Tibetan Studies (JIATS, ISSN 1550-6363)
Journal of Oriental Studies (ISSN 0915-5309)
Journal of Buddhist Ethics (JBE, ISSN 1076-9005)
Indo-Iranian Journal (IIJ, ISSN (online ed.) 1572-8563)
Journal of South Asian Linguistics (JSAL)
Journal of Indian Philosophy (JIP, ISSN (online ed.) 1573-0395).
Journal of the American Oriental Society (JAOS, ISSN 0003-0279)
Journal of Indian and Buddhist Studies / Indogaku Bukkyōgaku Kenkyū (JIBS, ISSN 0019-4344)
International Journal of Tantric Studies (IJTS, ISSN 1084-7553)
Electronic Journal of Vedic Studies (EJVS, ISSN 1084-7561)
Journal of South Asia Women Studies (JSAWS, ISSN 1084-7478)
Orientalistische Literaturzeitung (ISSN 0030-5383)
Memoirs of the Faculty of Letters, Kyoto University [Kyōto-Daigaku-Bungakubu-kenkyū-kiyō] (ISSN 04529774)
Philosophy East and West (ISSN 0031-8221)
Annual Report of the International Research Institute for Advanced Buddhology at Soka University (ARIRIAB, ISSN 1343-8980)
Buddhist Studies Review (BSR, ISSN 0256-2897, online ed. 1747-9681)
Rivista degli Studi Orientali (ISSN 0392-4866)
Rivista di Studi Sudasiatici (RiSS, ISSN 1970-951X, online ed. 1970-9501)
Asiatische Studien / Etudes asiatiques (ISSN 0004-4717)
Zeitschrift der Deutschen Morgenländischen Gesellschaft (ZDMG, ISSN 0341-0137)
Wiener Zeitschrift für die Kunde Südasiens (WZKS, ISSN 0084-0084, online ed. 1728-3124)
There are a lot of other journals available at the THDL. If you didn’t already knew, an outstanding tool for bibiographing relevant journal articles is SARDS 2. Keep up with E-Toc-Alert in Heidelberg. Peter Wyzlic runs reviews @ Indologica.de (“Zeitschriftenschau”).
This posting is open for additions, please don’t hesitate to drop an addition. Thanks in advance!

Thanks for the links. Some of the open journals in the list have been added to http://jurn.org/ – now indexing over 2,800 scholarly ejournals offering free content in the arts & humanities.
I just noticed that Indologica Taurinensia publishes full pdfs of their articles since 2003: http://www.indologica.it/
You might want to add RiSS (Rivista di Studi Sudasiatici), fully accessible on line, after a free registration: http://ejour-fup.unifi.it/index.php/rss.
[Of course! Thx much, Elisa!]