Here are the most important / famous writers of the British Isles =

William Shakespeare - Poet, play writer worldwide-
James Joyce -Novelist, story writer worldwide-
D.H. Lawrance -Novelist-
Oscar Wilde –Poet, novelist, story writer-
W.B.Yeats –Poet, dramatist-
William Blake - Poet –
William Wordsworth -Poet-
John Keats -Poet-
Charles Dickens –Novelist-
Katherine Mansfield – Story writer -
Virginia Woolf – Novelist -
Etc

-Ulysses by James Joyce (1922) had been chosen the best novel of the century in 1999.
By TIME (USA)

And some more,

Christopher Marlowe, dramatist
Lord Byron, poet
Percy Bysshe Shelley, poet
Mary Shelley, poet
Thomas Hardy, novelist
Bronte Sisters, novelists
Jane Austin, novelist
Joseph Conrad, novelist
E. M. Forster, novelist
T. S. Eliot, poet