Not the same as favorite novelists or storytellers, but authors you'd read just for the enjoyment of their writing.
Four of my favorites: George Eliot, Joseph Conrad, Thomas Wolfe, Salinger
Say what you want about the gal, the Making of Americans is a beautiful tragedy. It is one of the few books that I enjoy that is an artistic failure but somehow immensely satisfying to read.
You can read Hawkes chronologically, that's how I started. The Cannibal is a good starting place. If not, The Lime Twig or Beetle Leg. Save Blood Oranges for when you are more familiar with his prose.
Be nice to gertie
She was a modernist writer, loved as an expat and was intimately involved with all kinds of literature and art. Picasso painted her and Hemingway encouraged her to publish The Making of Americans, which Ford Maddox Ford eventually did (and regretted). It got picked up by Dalkey Archive a few years ago.
Unfortunately most of her stuff is unbearably pretentious and some of the worst parts of modernism. I myself don't know why I enjoy reading her writing; something about the reptitive nature of her sentence structure is very aesthetically pleasing to read. Pick up Autobiography or read some of her published letters to see what I'm talking about.