Sometimes Antivaxxers just take actual data and fully misinterpret its meaning
At other times they focus on the small and rare percentages of vaccine injuries that occur conveniently leaving out that pretty much all widespread medical care has associations to mortality and injury.
Your standard over-the-counter Aspirin claims at least 3,000 lives a year despite being touted as a miracle drug, especially for cardiovascular disease. This is just how medicine works today.
In people under 75 the benefits of taking aspirin for secondary prevention after a heart attack or stroke clearly outweigh the relatively small risk of bleeding. These people needn't worry,
In the over-75s the risk of a serious bleed is higher...
There is also the argument that this data does not cover longer term effects from vaccines, for which we have this section on vaccine ingredient safety.
National Vaccine Injury Compensation Program (VICP)
The United States has the safest, most effective vaccine supply in history. In the majority of cases, vaccines cause no side effects, however they can occur, as with any medication—but most are mild. Very rarely, people experience more serious side effects, like allergic reactions. In those instances, the National Vaccine Injury Compensation Program (VICP) allows individuals to file a petition for compensation.
Saying we shouldn't vaccinate because injury/death occurs at some level should cause us to also think twice about:
We were unable to find any injury close to or less than vaccines in the CPSC data.
Read more about how Vaccines are safe