The fish and the reptiles: the former since all other vertebrates arose from that class but are not included in it, and the latter since the birds, which are really the last surviving dinosaurs, are excluded from the reptiles.
Work Step by Step
First scan the chapter for groups which are divided between taxa for no phylogenetic reason--these are paraphyletic. Then choose those which are classes. The answer mentions those which are at the class level and which have had part of the phylogenetically-determined taxon split out, usually for historical reasons.