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