In no particular order:
Chordates
Echinodermata
Platyhelminthes (Flatworms)
Nematodes (Roundworms)
Annelids (Segmented Worms)
Arthropods
Porifera (Sponges)
Molluscs (Shells)
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For the animal kingdom Chordata, echinadermata, Mulluska, Annelida, Porifera
Mollusca and Annelida are two phylas with trochophore larvae
Flatworms are divided into two groups, parasitic and nonparasitic. The parasitic types, which live off of other organisms, consist of Cestoda, Trematoda, and Monogenea flatworms.
Non vascular plants consist of mosses, liverworts, and hornworts. They are normally found in moist places with a lot of rainfall.
Often there is a consensus of just over 30. Some 'splitter' taxonomists have higher estimates, with Edward O. Wilson suggesting 85. The ones that most people recognise include: Porifera Placozoa Cnidaria Ctenophora Nematomorpha Nemertea Nematoda Annelida Rotifera Platyhelminthes Cycliophora Gastrotricha Loricifera Hemichordata Sipuncula Priapulida (may have been demoted to a class) Entoprocta Ectoprocta Mollusca Arthropoda Urochordata Echinodermata Cephalochordata Chordata