Pardon the voicing of my own personal opinion here but it seems to me that it is time for many of the interesting and valuable literary review magazines and journals to establish more of a place for themselves on the web. The older and stogier seem to be the most reluctant in doing so, which is a shame because there is much worth reading in their pages (some pedantic junk too but such is life). Here is what The Antioch Review, The Gettysburg Review, Granta, and The Southern Review make available on line. The Boston Review, The Virginia Quarterly Review, and The Wilson Quarterly among others have a better approach.
Here’s a link from The Gettsyburg Review to these and some other good magazines in the same vein.