Once you are no longer a student, faculty or staff member, you no longer have off-campus access to ESF's licensed databases. If you are close to Syracuse, you are always welcome to come to the library and get a guest computer login at the main library desk which will give you online access to articles.
Other options:
Check out open access databases. We have a small list here: http://libguides.esf.edu/c.php?g=77412&p=499868
You could also check out your local public library. Many public libraries subscribe to some databases and also provide interlibrary loan services.