Aside from French Bulldogs, other brachycephalic dog breeds that may struggle with swimming include Basset Hounds, Pugs, Dachshunds, and Pekinese Dogs. These breeds have similar physical characteristics, such as flat snouts and wide skulls, which make it difficult for them to stay afloat and breathe properly while swimming. It is important to be aware of these limitations and take appropriate measures to ensure their safety around water.