A River Runs Through is a cinematographically stunning true story of Norman Maclean. The story follows Norman and his brother Paul through the experiences of life and growing up, and how their love of fly fishing keeps them together despite varying life circumstances in the untamed west of Montana in the 1920's.
The only dog appearing in the movie gets slapped by the guy who thinks it is playing too rough, and walks away whining. The only other animals in the movie are fish, which are shown being caught and lying on the ground after being caught. (Luckily it says on IMDB that no fish were actually harmed during the movie.)