As currently constitued this is a paraphyletic grade by exclusion of the more derived Camarodonta, which have the epiphyses of the lantern extended and fused above the hemipyramids.
The following taxa are probably stirodonts but remain too poorly known to place into one of the included taxa:
Egyptechinus Lambert, 1936
Jeannetia Mercier, 1936
Leiopleurus Lambert, 1902
Leptechinus Gauthier, 1889
Rhabdechinus Lambert, 1912
Jackson, R. T. 1912. Phylogeny of the Echini, with a revision of Paleozoic species Memoirs of the Boston Society of Natural History 7, 491 pp. 76 pls.