I can't think of a way to make this a long answer: find someone or someplace with a subscription. If a library or equivalent, check in the card catalog for the extent of the volumes and the location in the stacks. If you wanted to go direct to search the journals, weren't following up a citation or a bibliographical referral, all the journals I know of would have an index issue every so often which could be used as a bibliography for past printed articles where you could search under author, topic, etc.
Libraries would usually bind their journals, and it was not at all uncommon for scholars to have their journals bound as well, and placed on shelves in the office. Now that so much has been digitized and is accessible through companies like JSTOR, there's been a recurrent scene of retiring scholars cleaning out their offices and getting all those bound journals pulped.