One of the first classes I took at my LQS was Intro to Piecing I and we made a rail fence and a Log Cabin. We machine pieced everything but I hand quilted the Log Cabin which is the picture in my Avatar.
The are so easy to make and the go together very quickly. Eleanor Burns has a great book with Log Cabin quilts and there are so many designs that you can make just depending on how many blocks you make to get the different sizes