Yes, you probably should. This is something you need to discuss with your doctor. Depending on your age and other factors, you may want to get a pneumonia shot in addition to the flu shots.

Also, it's always a good idea for pretty much everyone to keep their other shots up-to-date, such as tetanus, measles, whooping cough (especially if you are around small children) etc. Even adults should get these because they help protect themselves and those around them.