score:10
As you have said, there are essentially two major sects in the Latter-day Saint movement which hold the Book of Mormon to be scripture and a base for teachings. They are:
The former represents the largest sect of the Latter-day Saint movement whose origins are from Utah and Brigham Young's leadership in the 19th century. The latter represents the largest sect among those that did not recognize Young's succession. Members of these sects represent the vast majority of adherents to Mormonism.
Additionally, there are several hundred LDS sects that can essentially be categorized as belonging to one of several origins:
As far as I am aware, all of these sects accept the Book of Mormon to be true with various degrees of advocacy for its use. The Community of Christ, for example, in recent years has reduced its emphasis on the Book of Mormon. Most, however, have different views on what literature originated by Smith is official canon. Some, for example, do not accept some or all of the Doctrine and Covenants or Pearl of Great Price. Perhaps it is safe to say that all of them claim to base their teachings on those of Joseph Smith, and hold him to be a prophet. However, what this means in the context of each sect's teachings will vary wildly.
Wikipedia has an excellent summary of modern and defunct LDS sects and their origins.