There are different types of rabies vaccine. The ones most likely to cause a reaction have thimerosal in them. A friend's dog (not a Basenji) had an anaphylactic reaction to a rabies shot, and she would have lost him had the vet not still been present and able to counter it with epinephrine. In the future they made sure the shots he got did not have thimerosal. Usually reactions aren't quite so dramatic, but something to keep in mind.
I also used blood titers to avoid unnecessary vaccinations with my dogs. More expensive, but worth it!