Vertebrates are animals with vertebrae. Vertebrae are our backbones.

There are lots of types of animals without backbones.

Insects and spiders and bugs don't have backbones.Snails and slugs don't have backbones.Clams and mussels and abalone and sea anemones and sea urchins don't have backbones.

Those are the main groups I can think of at the moment.

Most living things - anything that's not alive and not an animal (plants, fungi, bacteria, algae, protozoa), as well as most animals. Invertebrate animals on land include insects, spiders, scorpions, slugs, snails, and worms; in the ocean, basically anything that is not a whale or a fish: sea stars, sea urchins, sea cucumbers, sea anemones, jellies, shrimps, lobsters, crabs, krill, snails, clams, squid, octopus, and a huge variety of worms. Really, the only things that ARE vertebrates are fish (with fins), amphibians, reptiles, birds, and mammals...