People are often surprised at the wide range of roles available in the insurance industry. As long as you're good with numbers, can interact positively with people from a wide variety of backgrounds, and hold yourself to a high standard of integrity, there is almost certainly a rewarding career waiting for you in insurance.
Risk management is a closely related concept incorporated in undergraduate insurance degrees. This involves the systematic identification, assessment, and mitigation of financial hazards (and opportunities). Aside from insurance companies, the government, non-profit organizations, stock and foreign exchange trading firms, and large corporations all have opportunities for risk management experts.
Aside from risk management, a bachelor's degree in insurance covers the intricacies of commercial, life, and personal insurance, insurance law, some mathematics, as well as general business courses.
Many roles in the insurance industry involve working with large amounts of data, so an analytical mindset and familiarity with statistics and computers will be advantages. Attention to detail and a knack for customer service will also come in very handy after graduation.