I've read Class: A Guide Through the American Status System and Wartime: Understanding and Behavior in the Second World War. I could not understand what Fussell was getting at in Class. For me, it did not come off either as a serious work, as a satire, or anything else I could think of.
David Kelly, several posts above, says about Class: "Fussell saw adherence to the class structure and the striving to rise through that structure as limiting our freedom. He pulled no punches when he described the various levels of class in the United States until he got to the 'creative class' in the last chapter in which he stated that they are beyond class and thus are truly free. You can guess to which class Fussell self-identified." That's a fair description, but was this supposed to be serious (if so, silly), or just a joke at the expense of the academy (the least free and most class-obsessive folks I've ever experienced)? I could not tell.
I thought Wartime offered a useful perspective, but I would not call it a "must read". I read both books when they were first published, quite some time ago.