Spirit: Stallion of the Cimarron is a 2002 animated film about a wild mustang named Spirit who lives on the American frontier. The film follows Spirit's journey as he encounters various challenges and dangers, including humans, other horses, and wild animals.
The term "spirit bear" often refers to a white-furred subspecies of the American black bear found in the coastal rainforests of British Columbia, Canada. While Spirit: Stallion of the Cimarron is a beautiful animated film with themes of freedom and courage, it doesn't feature a spirit bear.
Perhaps you were thinking of a different movie or animal?