- Parargissa affinis Birstein & M. Vinogradov, 1960 accepted as Protohyperiopsis affinis (Birstein & M. Vinogradov, 1960)
- Parargissa curticornis Birstein & M. Vinogradov, 1960 accepted as Protohyperiopsis curticornis (Birstein & M. Vinogradov, 1960)
- Parargissa galatheae J.L. Barnard, 1961
- Parargissa galatheae americana J.L. Barnard, 1961
- Parargissa galatheae galatheae J.L. Barnard, 1961 represented as Parargissa galatheae J.L. Barnard, 1961
- Parargissa intermedia Birstein & M. Vinogradov, 1963 accepted as Protohyperiopsis arquata Birstein & M. Vinogradov, 1955
- Parargissa longipes Birstein & M. Vinogradov, 1960 accepted as Protohyperiopsis longipes (Birstein & M. Vinogradov, 1960)
- Parargissa nasuta Chevreux, 1908