The large moth family Gelechiidae contains the following genera:
Idiobela Idiophantis Irenidora Iridesna Ischnocraspedus Ischnophenax Ischnophylla Isembola Isochasta Isophrictis Issikiopteryx Istrianis Iulota Ivanauskiella Iwaruna
References
Natural History Museum Lepidoptera genus database