After Shackleton, 2005, with species from the “Paleobiology Database”:

<==o †Hudsonasteridae Schuchert, 1914
   |?-o †Protopalaeaster Hudson, 1912 [Belaster Spencer, 1916] [=? Hudsonaster Stürtz, 1900]
   |  |-- †P. narrawayi Hudson, 1912
   |  `-- †P. simplex Spencer & Groom, 1934
   |?-o †Mesopalaeasterinae Schuchert, 1914
   |  `--o †Mesopalaeaster Schuchert, 1914 [=? Hudsonaster Stürtz, 1900]
   |     `-- †M.? leintwardinensis Spencer, 1914
   |--o †Girvanaster Spencer, 1916
   |  `-- †G. sculptus (Spencer, 1916)
   `--+--o †Hudsonasterinae Schuchert, 1914
      |  `--o †Hudsonaster Stürtz, 1900 [Belaster Spencer, 1916; Macroporaster Raymond, 1921; Mesopalaeaster Schuchert, 1914; Protopalaeaster Hudson, 1912]
      |     |-- †H. australis
      |     |-- †H. carectum
      |     |-- †H. incomptus
      |     |-- †H. matutinus
      |     |-- †H. milleri
      |     |-- †H. narrawayi (Hudson, 1912) [Protopalaeaster narrawayi Hudson, 1912]
      |     |-- †H. ordovicus (Spencer, 1916)
      |     |-- †H. rugosus
      |     |-- †H. acuminatus [Mesopalaeaster acuminatus]
      |     |-- †H. antiquus [Mesopalaeaster antiquus]
      |     |-- †H. bellulus [Mesopalaeaster bellulus]
      |     |-- †H. cataractensis [Mesopalaeaster cataractensis]
      |     |-- †H. clarki [Mesopalaeaster clarki]
      |     |-- †H. complicatus [Mesopalaeaster complicatus]
      |     |-- †H. dubius [Mesopalaeaster dubius]
      |     |-- †H. finei [Mesopalaeaster finei]
      |     |-- †H. granti [Mesopalaeaster granti]
      |     |-- †H. intermedius [Mesopalaeaster intermedius]
      |     |-- †H. lanceolatus [Mesopalaeaster lanceolatus]
      |     |-- †H. parviusculus [Mesopalaeaster parviusculus]
      |     |-- †H. primus [Mesopalaeaster primus]
      |     |-- †H. proavitus [Mesopalaeaster proavitus]
      |     |-- †H. shafferi [Mesopalaeaster shafferi]
      |     `-- †H. wilberanus [Mesopalaeaster wilberanus]
      `--o †Silurasterinae  Spencer & Wright 1966
         |?-o †Caractacaster [jr. synon. to Siluraster??]
         |  |-- †C. caractaci Gregory, 1899 [Mesopalaeaster caractaci; Palaeaster caractaci; Protopalaeaster caractaci; Siluraster caractaci]
         |  `-- †C. yarraensis Withers & Keble 1934 [Yarravaster yarraensis]
         `--o †Siluraster Jaekel, 1903
            |-- †S. caemorensis Botting, Appleton, Muir, Malpas & Riddington, 2011
            |-- †S. ketleyi Spencer, 1916
            `-- †S. perfectus Jaekel, 1903

Reference(s):