As Jacob Knee points out on Xtalk and as Darko Svenscak pointed out to me in correspondence yesterday, Sage Publications now have available all the full text of JSNT on-line, going back to 2001, at this URL:
Journal for the Study of the New Testament
Journal for the Study of the Old Testament
They do not appear to be setting this up for marketing reasons as a "trial", so my guess is that this free-for-all arrangement is only temporary, while they are getting the website sorted out. If you look at the side menu, it seems that these pages are aimed at those that they assume already have subscriptions or institutional subscriptions. And I doubt very much that this will stay around for long given that the prices for subscription, even to the e-edition alone, are not that cheap. So, as Jacob says, now is the time to download the articles you want if you don't normally have access.
For more on the move of Theology and Biblical Studies journals from Continuum to Sage, see my Journals, Sage and Free PDFs.