The Oriental Shorthair is a relatively healthy breed of cat, but they can still suffer from a number of hereditary or non-hereditary health problems, including:

1. Dental health issues: like many purebred cats, Oriental Shorthair cats are at risk of developing dental disease, including calculus and gingivitis. Regular oral exams and cleanings are recommended to maintain your cat’s oral health.
2. Breathing problems: Oriental Shorthair cats are at risk for upper respiratory infections, including the common feline rhinobronchitis. Signs such as sneezing, runny nose, and difficulty breathing require immediate medical attention.
3. Heart Disease: Some of the Oriental Shorthair cats may face heart problems such as cardiomyopathy. Regular veterinary checkups and possible heart screenings are especially important for this.
4. Kidney Disease: Like many breeds of cats, the Oriental Shorthair may face kidney problems in old age. A good diet and regular check-ups can help with early detection and slow down the progression of the disease as much as possible.
5. Dietary allergies: Some Oriental Shorthair cats may have allergic reactions to specific foods, such as protein allergies. If the cat’s skin appears red, swollen and scratched or if the cat has symptoms such as diarrhea or vomiting, it may be due to food allergy and requires prompt medical attention.

Keep in mind that although there is a genetic predisposition, not every Oriental Shorthair cat will get these diseases. Regular veterinary checkups as well as healthy habits can help keep them healthy.