Anepsiomyia is a genus of flies in the family Dolichopodidae. It contains only one extant species from Europe, A. flaviventris, as well as two fossil species from the Eocene of Russia and Belarus. The genus was originally known as Anepsius, named by Hermann Loew in 1857. Later, Mario Bezzi found it to be preoccupied by the beetle genus Anepsius (LeConte, 1851), and renamed it to Anepsiomyia in 1902.