According to World Population Review, every state has at least one animal that stands out as its most dangerous. Even though Connecticut's most dangerous animal sounds intimidating, your chances of running into a timber rattlesnake are pretty slim. For our neighbors in New York, the most dangerous animal isn't a snake or a bear—it's the mosquito. Gallery Credit: Lou Milano10 Animals You Cannot Keep in the State of Connecticut There is an animal lover in all of us, but owning certain animals requires reason. In the State of Connecticut, you cannot own any of these animals as pets, and that's just fine by me.