Peover Superior is a former civil parish in Cheshire East, England. It contained 29 buildings that are recorded in the National Heritage List for England as designated listed buildings. Of these, two are listed at Grade I, the highest grade, one is listed at Grade II*, the middle grade, and the others are at Grade II. The parish was mainly rural, and most of the listed buildings are houses of various sizes, farmhouses, cottages, and associated structures. The other listed buildings include a church with associated structures, a former water mill, a railway viaduct, and a mile post.