Carausius morosus
Sold as the Indian stick insect
The classroom favorite for good reason: it eats privet, bramble or ivy you can cut from a pesticide-free hedge, and it reproduces without mating; males are rare. One female lays several hundred eggs in her life, and they hatch in about 10 to 12 weeks at room temperature, so a single purchase can keep you in stick insects for years.
Expect each insect to live about a year. The catch is legal. In the United States tropical stick insects like this one count as plant pests and need a USDA permit to import, and escapes and discarded eggs have already established it outdoors in California, so never release eggs or nymphs.
More about Carausius morosus