The Centers for Disease Control was thoughtful enough to compile a study of the deadliest animal by state, which was then made into a cute little coded map early in 2018. The map shows which animal is most likely to kill you by state, or at least what type of animal is the most dangerous.
The most common culprits are large mammals, domestic dogs, and stinging insects, and for some states the answer may be very different from what you would expect. However, it is important to note that the total number of animal-related deaths is pretty low, and about 20% of the states didn't actually have enough data to be included in the CDC's report.
The deadly animals in the US might not be a daily concern for most of us, but there isn't any harm in checking out which animal is most likely to kill you in your home state.