Why limit yourself to being published in lit mags in the U.S., Canada, or the U.K? There are many countries with English-language lit mags you can also submit your work to. For example, my poem "My Monkey Grammarian" was published in Hong Kong and even included in a review! You can read more about it here.
Thanks to Authors Publish and Aerogramme Studio for compiling the original lists I used as resources to start my research for the list below.
This list focuses on NO/LOW FEE poetry submissions, but most lit mags accept prose and art as well. Three of the listings are PAYING markets. The listings are in alphabetical order.
Updated 10/8/2016
Cha
LOCATION: Hong Kong
READING PERIOD: Rolling deadlines
SUBMISSION FEE: NONE
NOTES: "Cha is dedicated to publishing quality creative works from and about Asia. At this time, we can only accept work in English or translated into English."
FORMS: poetry, fiction, creative nonfiction, photography, art, "Lost Teas": "Works from any of the above genres which have been previously published in journals/magazines that have now folded. If submitting for “Lost Teas”, please include the periodical and issue/date the work appeared. Please note that this is the only place we accept reprints."
PAYMENT: None
DUOTROPE: https://duotrope.com/listing/2782
Crannóg
LOCATION: Ireland
READING PERIOD: Rolling deadlines. Submissions are open in the month of: Nov for Feb issue. March for June issue. July for October issue.
SUBMISSION FEE: NONE
NOTES: "Crannóg‘s mission is to publish the work of Irish writers alongside the best available worldwide and to show how well such writing sits with the best available internationally."
FORMS: poetry under 50 lines, short stories under 2,000 words
PAYMENT: Writers selected to appear in Crannóg will receive:
* A contributor’s copy and €30 per story, €20 per poem.
* An invitation to attend/read at the launch of Crannóg at The Crane Bar, Galway, Ireland.
* Four contributors will be nominated for the Forward Prize for best single poem, in memory of Michael Donaghy.
* Six contributors will be nominated for The Pushcart Prize, (poetry and fiction).
DUOTROPE: https://duotrope.com/listing/1298
Eastlit
LOCATION: East and South East Asia
READING PERIOD: Always Open
SUBMISSION FEE: NONE
NOTES: "The Takahe magazine appears three times a year and publishes short stories, poetry and art by established and emerging writers and artists as well as essays and interviews (by invitation), and book reviews in these related areas."
FORMS: fiction, novel extracts, poetry, short creative non-fiction, photography, artwork, translations, reprints previously published online with acknowledgment
PAYMENT: None
DUOTROPE: https://duotrope.com/listing/8807
Ilanot Review
LOCATION: Israel
READING PERIOD: Rolling deadlines.
SUBMISSION FEE: None
NOTES: You can read more about them on The Review Review's site, including Josh Medsker's five star review of their Winter 2013 issue, as well as an interview with editor Janice Weizman by Stanley Trice.
FORMS: Poetry, Fiction, Creative Non-fiction, Graphic Art
PAYMENT: None
DUOTROPE: https://duotrope.com/listing/5835
Malahat Review
LOCATION: Canada
READING PERIOD: Rolling deadlines. Special issue calls.
SUBMISSION FEE: NONE
NOTES: "The Malahat Review, established in 1967, is among Canada's leading literary journals. Published quarterly, it features contemporary Canadian and international works . . ."
FORMS: poetry, short fiction, and creative nonfiction
PAYMENT: "The Malahat Review purchases first world serial print and digital rights and, upon acceptance, pays $50 CAD per published page plus a one-year subscription starting with the issue after the one in which the accepted work has appeared. Two copies of the issue in which the accepted work has appeared are sent to each contributor."
DUOTROPE: https://duotrope.com/listing/355
The Moth
LOCATION: Ireland
READING PERIOD: Always Open
SUBMISSION FEE: None
NOTES: "We are delighted to receive previously unpublished work from anywhere in the world. It can take some time to respond, so please do bear with us. Work will be considered for any future issue, not just the one closest to date of submission."
FORMS: short fiction, poetry
PAYMENT: None
DUOTROPE: https://duotrope.com/listing/8533
New Contrast
LOCATION: South Africa
READING PERIOD: Always Open
SUBMISSION FEE: NONE
NOTES: "New Contrast is devoted mainly to publishing original work by South African writers, and other activities incidental to that."
"Our readership is primarily English or Afrikaans speaking, so we accept submissions in English and Afrikaans. We will consider submissions in other languages if they are accompanied by a translation."
FORMS: poetry, short fiction, and creative nonfiction
PAYMENT: None
DUOTROPE: https://duotrope.com/listing/8615
Poetry Kanto
LOCATION: Japan
READING PERIOD: "The reading period for Poetry Kanto 2016 is now open and submissions are welcome from December to June."
SUBMISSION FEE: NONE
NOTES: No simultaneous submissions. "We seek exciting, well-crafted contemporary poetry in English, and also encourage and publish high-quality English translations of modern and emerging Japanese poets."
FORMS: poetry
PAYMENT: Unknown
DUOTROPE: https://duotrope.com/listing/2768
Poetry Salzburg
LOCATION: Salzburg, Austria
READING PERIOD: Always Open
SUBMISSION FEE: NONE
NOTES: No simultaneous submissions. Email and postal submissions. "Our intention is to publish the best available writing from a variety of writers. Due to the amount and high quality of work we receive, potential contributors are strongly encouraged to read the magazine prior to submitting their work."
FORMS: poems, translations, interviews, essays and reviews of recent collections of poetry
PAYMENT: "All contributors are going to receive a complimentary copy of the issue that contains their work."
DUOTROPE: https://duotrope.com/listing/4483
Sand
LOCATION: Berlin
READING PERIOD: Submissions are open from May 1 – July 15 and from November 1 – January 15.
SUBMISSION FEE: NONE
NOTES: "SAND is an English literary journal printed bi-annually in Berlin, featuring prose and poetry as well as translations, art, and photography. We collaborate with musicians, literary festivals, and artist cooperatives to hold regular events in the city. We seek to offer a printed space for art and literature in Berlin’s international community and beyond."
FORMS: short stories, poetry, flash fiction, creative nonfiction essays, photography, drawing, painting, etc.
PAYMENT: None
DUOTROPE: https://duotrope.com/listing/5860
Sonic Boom
LOCATION: India
READING PERIODS: Feb 1 – March 1, June 1 – July 1, Oct 1 – Nov 1
SUBMISSION FEE: NONE
NOTES: "We hope to integrate multifarious genres of literature and artwork including Japanese short-forms of poetry, experimental, avant-garde poetry and postmodern works of culture and art."
FORMS: experimental poetry, Japanese short-forms, flash fiction, and visual art
PAYMENT: None
DUOTROPE: https://duotrope.com/listing/17197
Sukoon
LOCATION: Beirut/Dubai
READING PERIOD: Always Open
SUBMISSION FEE: NONE
NOTES: "Sukoon is an Arab-themed, English language, online literary magazine reflecting the diversity and richness of the Arab world. . . . Artists and writers need not be Arab, nor of Arab origin, but all art and writing must reflect the range and richness of the cultures of the Arab world, where Arabic is spoken--a Semitic language with over 30 different varieties of colloquial Arabic."
FORMS: poetry, fiction and creative nonfiction
PAYMENT: None
DUOTROPE: https://duotrope.com/listing/14386
If you know of any other international markets publishing poetry in English, please post info in the comments below so I can add them to the list.