Pegasus was the horse that Perseus rode when he saved Andromeda from the Sea Monster Cetus.
Pegasus is a large constellation that is relatively easy to locate, to the right of Andromeda.
For its size it is relatively sparse with two objects of note.
The first is M15, a globular cluster, to the farthest right of the constellation. A large telescope gives a splendid view of this tightly packed object.
The second object is NGC 7331, a spiral galaxy at 9th magnitude. Viewable with a 6 inch or better.