Although its not a specific book, DC Comics has many stories featuring alternate versions of Earth (52 in all), each which features divergent histories from the main DC Earth (called New Earth). For example, on one Earth Superman's rocket landed in the Soviet Union instead of the United States. On another Earth, Bruce Wayne became a Green Lantern instead of becoming Batman.
For more information, see this Wikipedia page:
http://en.wikipedia.org/wiki/List_of...tiverse_worlds