1. Estonian Journal of Archaeology
http://www.kirj.ee/archaeology?id=15527
"The Estonian Journal of Archaeology is an international  journal  published by the Estonian Academy of Sciences in collaboration  with the  Institute of History of Tallinn University and the University  of Tartu. The  journal publishes primary research and review  papers in the English,  Estonian, and German languages. All articles are  provided with short  summaries: if the article is written in Estonian,  the summary should be  in either English or German, and vice versa. All  papers to be published in the journal are peer reviewed internationally.  The journal is open for publications in all fields of archaeology.”
Of course the best part is it is Open Access

    Estonian Journal of Archaeology

    http://www.kirj.ee/archaeology?id=15527

    "The Estonian Journal of Archaeology is an international journal published by the Estonian Academy of Sciences in collaboration with the Institute of History of Tallinn University and the University of Tartu.

    The journal publishes primary research and review papers in the English, Estonian, and German languages. All articles are provided with short summaries: if the article is written in Estonian, the summary should be in either English or German, and vice versa. All papers to be published in the journal are peer reviewed internationally.

    The journal is open for publications in all fields of archaeology.”

    Of course the best part is it is Open Access

  2. Espacio, tiempo y forma. Serie I. Prehistoria y arqueología
http://e-spacio.uned.es:8080/fedora/get/bibliuned:ETFSerieI/demo:Collection/view
The magazine Space, Time and Form was founded in 1988. It  published articles on pretty much anything related to archaeology in  Spanish and English (Mainly Spanish). All of their articles are  available online for free.
ISSN: 1131-7698  Frequency: Annual

    Espacio, tiempo y forma. Serie I. Prehistoria y arqueología

    http://e-spacio.uned.es:8080/fedora/get/bibliuned:ETFSerieI/demo:Collection/view

    The magazine Space, Time and Form was founded in 1988. It published articles on pretty much anything related to archaeology in Spanish and English (Mainly Spanish). All of their articles are available online for free.

    ISSN: 1131-7698
    Frequency: Annual

  3. Arqueología y Territorio Medieval
http://www.ujaen.es/revista/arqytm/
"The journal Arqueología y Territorio Medieval is dedicated to the   history and archaeology of European and Mediterranean medieval   societies, in their different politico-social, economic, religious and   cultural forms, etc, between the Vth and XVth centuries as well as their   prolongations into the Modern Age."
"The journal accepts articles written in the official languages of  the  Spanish State as well as in French, English, Italian and  Portuguese."
It is a pretty cool journal, check it out.

    Arqueología y Territorio Medieval

    http://www.ujaen.es/revista/arqytm/

    "The journal Arqueología y Territorio Medieval is dedicated to the history and archaeology of European and Mediterranean medieval societies, in their different politico-social, economic, religious and cultural forms, etc, between the Vth and XVth centuries as well as their prolongations into the Modern Age."

    "The journal accepts articles written in the official languages of the Spanish State as well as in French, English, Italian and Portuguese."

    It is a pretty cool journal, check it out.

  4. Arkeoloji dergisi

http://www.dlir.org/archive/orc-exhibit/items/browse/collection/4/tag/Arkeoloji+Dergisi
The way back machine has found Arkeoloji dergisi which was published  from 1991-1999 in Turkish, German, French, and English. As far as I can  tell it is no longer published but the back issues are online and free  to get.

    Arkeoloji dergisi

    http://www.dlir.org/archive/orc-exhibit/items/browse/collection/4/tag/Arkeoloji+Dergisi

    The way back machine has found Arkeoloji dergisi which was published from 1991-1999 in Turkish, German, French, and English. As far as I can tell it is no longer published but the back issues are online and free to get.

  5. http://fornvannen.se/fornvannen.html

The Digital Fornvännen
"Fornvännen is the leading journal for antiquarian research in Sweden.  It is also the oldest and most widely distributed journal, with the  largest review section in the subject field in Scandinavia. Publication  started in 1906. The leading Scandinavian experts in archaeology and  Medieval research are published in Fornvännen.
The articles in Fornvännen are written mainly in Swedish, sometimes in Danish, Norwegian, English and German.”
The Journal is Open Access

    http://fornvannen.se/fornvannen.html

    The Digital Fornvännen

    "Fornvännen is the leading journal for antiquarian research in Sweden. It is also the oldest and most widely distributed journal, with the largest review section in the subject field in Scandinavia. Publication started in 1906. The leading Scandinavian experts in archaeology and Medieval research are published in Fornvännen.

    The articles in Fornvännen are written mainly in Swedish, sometimes in Danish, Norwegian, English and German.”

    The Journal is Open Access

  6. Fasti On Line Documents & Research
http://www.fastionline.org/folderabout.php?view=fdrabout
"FOLD&R is an archaeological journal published since 2004 by the  International Association for Classical Archaeology in collaboration  with the Italian Ministry for Cultural Heritage and Activities."
"The journal is dedicated to the proposition that reports on all  excavations should be easily available to the general public. It is a  peer-reviewed journal, with an editorial board that covers all of the  archaeological disciplines. We welcome illustrated submissions, in  English, Italian, French, Spanish or German, on recent Italian  excavations or geophysical or surface surveys of individual sites."
The issues are Open Access

    Fasti On Line Documents & Research

    http://www.fastionline.org/folderabout.php?view=fdrabout

    "FOLD&R is an archaeological journal published since 2004 by the International Association for Classical Archaeology in collaboration with the Italian Ministry for Cultural Heritage and Activities."

    "The journal is dedicated to the proposition that reports on all excavations should be easily available to the general public. It is a peer-reviewed journal, with an editorial board that covers all of the archaeological disciplines. We welcome illustrated submissions, in English, Italian, French, Spanish or German, on recent Italian excavations or geophysical or surface surveys of individual sites."

    The issues are Open Access

  7. The Arkeotek Journal- Open Access Goodness
http://www.irit.fr/thearkeotekjournal/
"Exclusively available online, The Arkeotek Journal is a  peer-reviewed  scientific journal devoted to the archaeology of  techniques."
It is in French and English and covers the world. I had a quick look and the articles are pretty good.
The newest article is Immigrants of Mediterranean origin in the Paris Basin 			in the Early Neolithic: technology and morphology of bone industries.

    The Arkeotek Journal- Open Access Goodness

    http://www.irit.fr/thearkeotekjournal/

    "Exclusively available online, The Arkeotek Journal is a peer-reviewed scientific journal devoted to the archaeology of techniques."

    It is in French and English and covers the world. I had a quick look and the articles are pretty good.

    The newest article is Immigrants of Mediterranean origin in the Paris Basin in the Early Neolithic: technology and morphology of bone industries.

  8. Archeologia e Calcolatori

    http://soi.cnr.it/archcalc/

    Archeologia e Calcolatori is a peer reviewed open access journal. It also happens to be one of my favorites. It deals with computer applications to archaeology which is a lot of what I deal with in my work. It is published in French, English, German, Italian, and Spanish so there are articles for everyone. Well not everyone but lots of people. It has been publishing since 1990 so there are lots of open access articles online.

  9. WooHoo- Underwater Archaeology

    Looking to learn more about underwater archaeology? Speak French or English. Then I have the journal for you, Archaeonautica is an open access archaeology journal that deals with water archaeology.
    Archaeonautica is a collection created in 1977 by the CNRS and the Ministry of Culture on the initiative of Bernard Liu.  research of underwater archeology, or more generally, underwater, from prehistory to modern times. It is also intended to accommodate studies of Maritime Archaeology and Archaeology naval and maritime history economic history.
    You can find free access back-issues at-http://www.persee.fr/web/revues/home/prescript/revue/nauti
    More recent issues can be found here-http://ccj.univ-provence.fr/spip.php?rubrique82 

  10. Open Access Journal- Anthropozoologica

    "ANTHROPOZOOLOGICA, European semi-periodic set up in 1984, aims to promote the exchange of results and ideas among scientists working on the relationship between man and animal, from its origins to the present. It aims to promote the study of this relationship as an expression of strong history of cultures and societies in their natural environment.”

    Anthrozoology was something I never was able to take classes in but something that always interested me. Well now I guess I can read this journal and learn more.
    It publishes articles in both English and French and all of the articles are open access. Though the website is in french and can be found here-

    http://www.mnhn.fr/museum/foffice/science/science/DocScientifique/publications/presentation/fichePublication.xsp?PUBLICATION_ID=133&idx=24&nav=publication

    It is peer reviewed for those of you who like that sort of thing.