Armacost Library has browsing copies of numerous literary magazines on the second floor periodicals section.
You can also find tables of contents (and, in some cases, the full text of selected articles) on the journal's website:
Blackbird (online)
Blackbird: an online journal of literature and the arts offers visitors from around the world outstanding fiction, poetry, nonfiction, and reviews, as well as plays, visual art, new media, and video essays, which we present in inventive arrangements with an eye toward revealing the process of their creation.
Cortland Review (online)
The Cortland Review publishes poetry and short fiction, both solicited and by open submission. Essays, interviews, and book reviews are solicited and/or queried and approved before submission.