Dogs with the brachycephalic syndrome (a genetic issue that obstructs their airways) tend to have more breathing problems as they age. This typically comes with a ton of different symptoms. Among them, you'll find hiccups. The most common brachycephalic dogs are Boston Terriers, Boxers, Bulldogs, Bull Mastiffs, Chinese pugs, Lhasa Apsos, Pekingese, and Shih Tzus. They won’t necessarily suffer from hiccups consistently but are more likely to do so.