• Pocockia J.K. Lentin & G.L. Williams, 1973 † accepted as Ovoidinium R.J. Davey, 1970 † [Family: Peridiniaceae]
• Pocockia Lazarev, 1976 † (uncertain) [Family: Articulata (awaiting allocation)]
• Pocockia Seringe ex A.P. de Candolle, 1825 accepted as Trigonella Linnaeus, 1753 [Family: Fabaceae]
• Pocockia Silvestri, 1895 (uncertain) [Family: Metopidiotrichidae]
• Pocockia cachemeriana (Cambess.) Boiss. accepted as Trigonella cachemiriana Cambess.
• Pocockia cachemirica (Cambess.) Boiss. accepted as Trigonella cachemiriana Cambess.
• Pocockia cretica (L.) Ser. accepted as Trigonella cretica (L.) Boiss.
• Pocockia glomerata Boiss. accepted as Medicago brachycarpa M. Bieb.
• Pocockia graeca Boiss. & Spruner accepted as Trigonella graeca (Boiss. & Spruner) Boiss.
• Pocockia ruthenica (L.) P.Y. Fu & Y.A. Chen accepted as Medicago ruthenica (L.) Ledeb.