This seems to be brand new: Games & Culture: A Journal of Interactive Media:

Games & Culture is a new, quarterly international journal (first issue due March 2006) that aims to publish innovative theoretical and empirical research about games and culture within the context of interactive media. The journal will serve as a premiere outlet for ground-breaking and germinal work in the field of game studies.

Games & Culture's scope will include the socio-cultural, political, and economic dimensions of gaming from a wide variety of perspectives, including textual analysis; political economy; cultural studies; ethnography; critical race studies; gender studies; media studies; public policy; international relations; and communication studies.

Judging from the associate editor, it seems pretty valuable. I don't know why the psychological dimension is missing (for instance social and cognitive psychology are very keen on that topic...)