New Hampshire designated the ladybug (also called ladybird or lady beetle) as the official state insect in 1977 (championed by the pupils of Broken Ground grammar school of Concord NH).

Ohio, New York, Massachusetts, Tennessee, and Delaware also designate the ladybug as an official state symbol. Ladybugs help gardeners and farmers by eating tiny insect pests that damage plants. A ladybug can consume up to 60 aphids per day, and will also eat a variety of other harmful insects and larvae (including scales, mealy bugs, leaf hoppers, mites, and other types of soft-bodied insects), as well as pollen and nectar.

According to John Losey, a Cornell University entomologist who leads the Lost Ladybug Project. (a project funded by a National Science Foundation grant recruiting citizen scientists, particularly children, to search for nine-spotted ladybugs and other ladybug species, and send photos of them to Cornell for identification and inclusion in a database), there are about 5,000 species of ladybugs, also known as ladybird beetles, with about 450 species in the United States.

Source:

State Insect: Official New Hampshire website

Links:

All State Insects