Bilateria Hatschek, 1888 - bilaterians see Subkingdom Bilateria Hatschek, 1888 Spiralia Schleip, 1929 - spiralians see Superphylum Spiralia Schleip, 1929 Platyzoa Ax, 1987 see [unranked] Spiralia Schleip, 1929 Phylum Gastrotricha Metschnikoff, 1864 - gastrotrichs