The Journal of Unlikely Entomology publishes two standard issues per year, roughly in May and November. There are also a few other things we'll be putting out each year on an irregular basis: an indeterminate number of themed mini-issues and non-buggy standalone issues of other Unlikely Arts & Sciences.
They are looking for:
Beautifully-written fiction, characters that grab us by the throats and refuse to let go, worlds that demand to be explored…and bugs. Genre isn’t particularly important to us—speculative, mainstream, slipstream, and the unclassifiable tales in between—we’ll read anything; all we ask is that something pertaining to bugs is integral or significant in your story. The bug element can be literal or metaphorical, hallucinatory or behavioral or metaphysical, or any combination thereof.Not quite sure what we’re talking about? Think of The Metamorphosis, Ender’s Game, Angels and Insects, Naked Lunch, A Recipe for Bees, District 9, Eight Legged Freaks, and Sandkings. Basically, think bugs, and let your imagination run wild. There are no barriers as to levels of profanity, gore, or sexuality allowed, but be sure to use them well if you do use them.
For their standard issues they prefer 5,000 word fiction, up to 8,000 words. For mini-issues they want 100-1,500 words with 2,000 max. Pay rates are up to $50, with a variety of flat rates for mini issues. It's best to check out the guidelines page below.
Submissions guidelines here: http://www.grumpsjournal.com/subs.html