There are far too many invertebrate species to list. Note that
there are far more invertebrate species than vertebrate species.
However, I here are a list of invertebrate phyla:
Acanthocephala (a phylum of worm)
Acoelomorpha (a phylum of worm)
Annelida (a phylum of worm)
Arthropoda (spiders, crabs, etc)
Brachiopoda
Bryozoa
Chaetognatha (a phylum of worm)
Cnidaria (corals, sea anemones, jellyfish, etc)
Ctenophora (comb jellies)
Cycliophora
Echinodermata (sea urchins, starfish, etc)
Echiura (a phylum of worm)
Entoprocta (a phylum of worm)
Gastrotricha
Gnathostomulida (a phylum of worm)
Hemichordata (a phylum of worm)
Kinorhyncha
Loricifera
Micrognathozoa
Mollusca (octopi, clams, etc)
Nematoda (a phylum of worm)
Nematomorpha (a phylum of worm)
Nemertea (a phylum of worm)
Onychophora (a phylum of worm)
Orthonectida
Phoronida (a phylum of worm)
Placozoa
Platyhelminthes (flat worms)
Porifera (sponges)
Priapulida
Rhombozoa
Rotifera
Sipuncula
Tardigrada (Water bears, which are microscopic animals that live
in and eat moss. They look like caterpillars).
Xenoturbellida (strange flatworm)