Every vaccine should be weighed against the disease, and only by the recipient of the vaccine. Sometimes the illness is less bad than the possible reactions. For instance, the polio vaccine:

Other problems that could happen after this vaccine:

People sometimes faint after a medical procedure, including vaccination. Sitting or lying down for about 15 minutes can help prevent fainting and injuries caused by a fall. Tell your provider if you feel dizzy, or have vision changes or ringing in the ears. Some people get shoulder pain that can be more severe and longer-lasting than the more routine soreness that can follow injections. This happens very rarely.

That's it! Some soreness. Where a polio infection can effect almost any organ or system in your body with varying severity from short term pain to complete, permanent loss of function.

Take for instance the flu vaccine. For starters its not even guaranteed to work due to the vast number of flu strains and mutation rates. Generally when people die from the flu its from a secondary infection anyway. I would much rather try my luck with the flu than end up with Guillain-Barre from the vaccine.