Depending on your topic, there are at least four Phase II databases (that are not in EBSCOhost):
JSTOR -- Arts and humanities.
ProjectMUSE -- The humanities and the social sciences.
ScienceDirect -- The sciences, especially "non-life" sciences.
Web of Science -- The social sciences and life sciences. See search below and note the search types on right-hand side.
The example below is from the Web of Science database.