Zondervan Library has a number of creative fiction literary journals. Many of these are found only in print and not available electronically or indexed in standard database sources (i.e. EBSCO such as Academic Search Premier.)
Here is a selected list:
These and other magazines are located in the Current Periodicals section on the main floor of Zondervan.
A second strategy for finding literary journals (especially those available online) is to search Journal Finder using the search term "literary magazine."
Use the links in Resources for Publishing on this page (taken from Poets and Writers) for identifyling additional titles.