Short fiction (no more than 1,000 words online, 4,000 in print), non-profit.
Nice site: they offer you everything they've published along with an estimated reading time for each (ranging from thirty seconds to seventeen minutes).
The Dirty Goat
A biannual publication. World poetry, prose, literature, and visual art. Does not compensate contributors.
American Short Fiction
Conservative short fiction. Nice web site: read the current issue's featured story. Unsolicited submissions are accepted, but their standards are “extremely high”.
A Public Space
This publication cranks out a little bit of everything. Fiction, essay, op-ed, poetry, and so on. Nice web site: visually appealing.
A poetry journal.
In researching this I ran into this email correspondence posted on a would-be contributor's web page. You won't find too many people slamming poets for representing The Man, but this guy did: