Green Cloverworm 
Green drab 
Green Fruit-piercing Moth 
Green-dusted Zale 
Gymnelia peratea 
Hadennia hypenalis 
Hadennia maculifascia 
Hadennia transvestita 
Haemaphlebiella venata 
Halone bifornica 
Halone consolatrix 
Halysidota roseofasciata 
Halysidota underwoodi 
Handmaiden moth 
Hanham's snout moth 
Harnessed tiger moth 
Hebe tiger moth 
Heliotrope moth 
Hemeroblemma laguerrei 
Hemeroblemma mexicana 
Heoeugorna ochrovittata 
Hepatica orbicularis 
Hepsidera ferruginea 
Hepsidera lignea