Will any vaccinations exclude a person from being a blood donor?

MMR, Chicken pox and. Mmr, varicella (chicken pox) and yellow fever all have a 4 week waiting period until blood can be donated.
See below. There can be some restrictions depending on shot received. Here is a good list from the red cross of things that will get you disqualified from donating blood. http://www.redcrossblood.org/donating-blood/eligibility-requirements/eligibility-criteria-topic.