As part of a new page on my blog, I am creating of a list of archaeology journals. There are a few lists already on the web (CBA, Archaeology on the net , About.com, BAJR) but they are a bit patchy. So I am putting together a list of my own. So far, I have close to 200 journals and counting. I have posted some on open access and ones that have open access back issues. The full list can be seen here. Here are some journals that can be accessed online but that require you to pay money to subscribe:
Acta Archaeologica
African Archaeological Review
American Journal of Archaeology
Ancient Civilizations from Scythia to Siberia
Ancient Mesoamerica
Annual of the British School at Athens
Antiquaries Journal
The Antiquity
Arabian Archaeology and Epigraphy
Archaeological and Anthropological Sciences
Archaeological Dialogues
Archaeological Prospection
Archaeologies
Archaeology in Oceania
Archaeology Ethnology and Anthropology of Eurasia
Archaeometry
Archeological Papers of the American Anthropological Association
Australasian Historical Archaeology
Australian Archaeology
Before Farming- The archaeology and anthropology of huter-gathers
Britannia
Cambridge Archaeological Journal
Canadian Journal of Archaeology
Conservation and Management of Archaeological Sites
Environmental Archaeology: The Journal of Human Palaeoecology
European Journal of Archaeology
Geoarchaeology
Hesperia
Historical Archaeology
Industrial Archaeology Review
International Journal of Architectural Heritage
International Journal of Cultural Property
International Journal of Heritage Studies
More to follow in the next couple of days
Doug's Archaeology 
Evan
May 11, 2011
Big thanks for the link to Ancient Mesoamerica. My university didn’t have a subscription for it and I just assumed it was restricted.
Evan
May 11, 2011
Ah, actually it still is. Only the latest issues are available for free? Strange policy.
Doug Rocks-Macqueen
May 11, 2011
Yeah, I am not a big fan of the current journal set up. I am actually currently working on starting up a non-profit that could subscribe to all the archaeology journals and that people could join. It’s mainly aimed at everyone who has left university since they tend to be left out in the cold but I suspect that alot of people from universities will join as well, cases like yours. I know I usaully have to use three different accounts from the three different universities I attended to do any research. Even then I run into trouble. I’ll post when it happens so you can access anchient mesoamerica.