My all time favorite block is the New York Beauty, this is not a beginner block.
My favorite beginner block is twisted sister, there is a tut on it in the tutorial section, it is very easy, goes together really fast, and looks good. Don't have any pictures of it, but I have made about 17 double bed size quilts with my mom and sister to give to all my nieces and nephews. They turned out great and we got them all done in a short time.