There are none. The meaning of, or the reason for, vertebrate classification is that all the animals placed under this group have a backbone/spine. While it may not look similar to the human back, it is a back nonetheless.
Animals with no backbone are invertebrates
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It is not an animal so it is not a vertebrate or invertebrate.
An animal with a backbone is called a vertibrate.
Animal with a backbone.
Vertebrates are animals with a backbone or spinal column. They belong to the subphylum Vertebrata, which includes animals such as mammals, birds, reptiles, amphibians, and fish.
A rat is a vertebrate, meaning it has a backbone and an internal skeleton.An animal which is not classed as a vertebrate is known as an invertebrate, rather than a "non-vertebrate".