What is the name given to a animal with backbone?

The correct term for an animal with a backbone is a "vertebrate." Vertebrates are animals that have a spinal cord made of bone or cartilage protected by a bony or cartilaginous skeleton. The spinal cord is the central nervous system of vertebrates, and it runs along the back of the animal, from the brain to the tail. Vertebrates are divided into five main groups: fish, amphibians, reptiles, birds, and mammals.