There are many different species of rabbits, including the European rabbit, the cottontail rabbit, and the snowshoe rabbit. According to the latest estimate, there are between 24 and 30 different species of rabbits worldwide. european-rabbitThe European rabbit is the most common type of rabbit and is found in many parts of Europe, Asia, Africa, and South America. The cottontail rabbit is native to North America and is one of the most common types of rabbits in the United States. The snowshoe rabbit is found in Canada and Alaska.