What would you say besides the New Yorker are the top relevant Literature Magazines?

[humbleguy]

In your opinion what magazine have some notoriety? list the ones you think are great

[JBI]

Since when was the New Yorker relevant?

[mal4mac]

The Times Literary Supplement and London Review of Books are often worth a gander.

[lichtrausch]

The Paris Review, 新潮, 文藝

[Ankit Sethi]

The Paris Review, 新潮, 文藝

There are tons.

The Rumpus
The Millions
Guernica
Boston Review
Triple Canopy
Berfrois
n+1
The American Reader
The New York Review of Books
The Los Angeles Review of Books
The Kenyon Review

[NedSiegel]

The Times Literary Supplement and London Review of Books are often worth a gander.

I love the Times Lit supplement. As for the New Yorker which was mentioned at the topic -- I don't think much of it. More about trends and being chic than literature.