TheNextBigWriter Online Writing Workshop is hosting its second annual Strongest Start Novel Competition. Writers post the first three chapters of their novel. Six finalists are chosen and the winner is selected by a good panel of judges. First prize is a full novel edit from iUniverse, a self-publisher with links to Barnes & Nobles.
I read through some of the entires and they are pretty darn good.
You need to hurry though. The contest deadline is April 16.