1. Some alumni associations provide a mechanism for at least partial library privileges - can't hurt to ask
2. Adjunct faculty appointment, as others have suggested
3. Review for one of the big publishers (Springer, Elsevier, etc.) and get some limited period of access (usually at least 30 days)
4. The PsycNET subscriptions from APA gives you access to all the APA journals for a reasonable annual fee
5. If you are near a medical school or academic medical center you might be able to access materials in person
6. If you find an abstract to an article you want to read but can't get access through the above channels, try reaching out directly to the author via email or ResearchGate