Many of the Mail Order Scarf and Runner patterns, often billed as luncheon sets, were designed as squares and medallions.   There are still a number, however, that are one-piece ... largely in the marvelous oval pineapple designs.   Here you will find a a few of these Designs from Laura Wheeler, Alice Brooks and Martha Madison.   I have many more to list in the future.  

There are also quite a few additional Scarf and Mat patterns listed in the Crochet section from the major yarn companies.