Naked filose and reticulose protozoa were long lumped as proteomyxids or left outside higher groups. We cultivated eight naked filose or reticulose strains, did light microscopy, 18S rDNA sequencing and phylogeny (showing all are Cercozoa), and sequenced 80 environmental 18S-types. Filose species belong in subphylum Filosa and reticulose ones in subphylum Endomyxa, making proteomyxids polyphyletic. We therefore transfer the classically mainly reticulose Proteomyxidea to Endomyxa, removing evident filosans as new class Granofilosea (including Desmothoracida, Acinetactis and new heliomonad family Heliomorphidae (new genus Heliomorpha (=Dimorpha)). Five new species of Limnofila gen. n. (L. mylnikovi; L. anglica; L. longa; L. oxoniensis; L. borokensis, previously misidentified as Biomyxa (=Gymnophrys) cometa) form a large freshwater clade (new order Limnofilida). Mesofila limnetica gen., sp. n. and Nanofila marina gen., sp. n. group separately in Granofilosea (Cryptofilida ord. n.). In Endomyxa, a new genus of reticulose proteomyxids (Filoreta marina, F. japonica, F. turcica spp. n., F. (=Corallomyxa) tenera comb. n.) forms a clade (Reticulosida) related to Gromiidea/Ascetosporea. Platyreta germanica gen., sp. n. and Arachnula impatiens are related vampyrellids (Aconchulinida) within a large clade beside Phytomyxea. Biomyxidae and Rhizoplasmidae fam. n. remain incertae sedis within Proteomyxidea. Gymnophrydium and Borkovia are revised. The reticulose Corallomyxa are unlike Filoreta and possibly Amoebozoa, not Cercozoa.