Does an insurance company have to replace a broken windshield even if you do not have full coverage insurance in Florida?

No, unless it is due to someone els's liability. As in, someone hit you and your windshield cracked, then it is covered. If you had Comprehensive coverage you would be all set. It depends on whose insurance is paying and what caused the windshield to break. If it's your insurance and a rock chips the windshield and you don't have comp/collision... no.