Evergreen Review has a quite a history. The Editor-in-Chief, Barney Rosset, was the first to publish Samuel Beckett in America, as well as classic beat writers like Jack Kerouac and William Boroughs.
Here is a bit from their website:
Evergreen Review debuted pivotal works by Samuel Beckett, Jorge Luis Borges, Charles Bukowski, William Burroughs, Marguerite Duras, Jean Genet, Allen Ginsberg, Gunter Grass, Jack Kerouac, Norman Mailer, Henry Miller, Pablo Neruda, Vladimir Nabokov, Frank O’Hara, Kenzaburo Oe, Octavio Paz, Harold Pinter, Susan Sontag, Tom Stoppard, Derek Walcott and Malcolm X. United States Supreme Court Justice William O. Douglas wrote a controversial piece for the magazine in 1969. Kerouac and Ginsberg regularly had their writing published in the magazine.
The original Evergreen Review ceased publication in 1973, but the magazine was revived in 1998 in an online edition edited by founder Barney Rosset and Astrid Rosset. The online edition features flashbacks to previous Evergreen Review editions, as well as debuts by contemporary writers such as Dennis Nurkse, Giannina Braschi, and Regina Dereiva.
Anyway, if you get a chance, check it out!