If you are planning a trip to Connecticut and are curious about “What is Connecticut famous for?”, then read this article. Connecticut is famous for its historic sites and museums. Also its known as by “Insurance Capital of the world.” And its nickname is “the Constitution State.” Connecticut is a very rich state in the U.S. because it offers over 70,000 insurance-related jobs, and it has been leading the insurance and financial services industry for over 100 years.