I see that Oxford University has arranged to provide JSTOR access to its graduates, those who have left college and are sat in offices, vaguely longing to read another paper on Cicero.
In this case you go to the alumni office website, obtain the card number for an alumni card (they email you after a week or so), then register an account on the website (a couple more weeks), and, when that is validated, you can register for JSTOR.
This is a good thing. All universities should do this.