Start at the library home page and look for the databases link below the OneSearch box. This will take you to an A-Z list of databases. Next, select from the drop down menu for Subject and the list will change to show you the best databases for that subject.
You can also find database recommendations in many of the Research Guides. Select your subject area and look for the tab/menu item labeled journals, articles or a database name such as EBSCOhost, JStor, Gale Literary Sources, US Newstream, etc.