When our pediatrician learned that our oldest child had had a severe vaccine reaction, he was very concerned, and recommended starting vaccines a bit later for our younger children. Unfortunately, the nurses at the hospital ignored this, and gave our second child the hep v vaccine without our knowledge or permission.
When our second child had a different reaction to a different set of vaccines, our pediatrician recommended both starting vaccines later, and giving only 1 or 2 at a time, as well as entirely skipping vaccines that he thought were unnecessary.
When our youngest had a different reaction to vaccines (and at an older age), our pediatrician said that he thought we had a strange genetic predisposition to vaccine reactions, he did not understand why, but that we should no longer vaccinate.
So, in a way, we are lucky. It's just too bad it took so many reactions...