They've given you some good choices for fishing books. A true novel with a little fly-fishing in it, though not based around fly-fishing, is "Anatomy of a Murder" by Robert Traver, author of "Trout Magic" and the even better "Trout Madness."
Don't forget Hemingway's "The Old Man and the Sea," though not fly-fishing but is a fine novella centered around fishing.
And, of course, there is the wonderful long story "A River Runs Through It." It is well worth reading every year or so.
And, if you can find it, Harry Middleton's "The Earth is Enough" is a wonderful book centered pretty much around fly-fishing. His "On the Spine of Time" is a fine read, too.
These and the wonderful other books suggested by others ought to help you get away from the other types of fly-fishing books for a while.
Good reading!