Common insect pests. Likely the insect most everyone thinks of when it comes to pests is the cockroach. Cockroaches are found in nearly every climate, from tropical to arboreal, and are especially well suited to dwelling among humans. But the number of potential insect pest species is vast. Ants and termites can both do significant damage to wood-based buildings and furniture. So too can some species of bees. Bees and wasps are often regarded as pests because of their stingers and sometimes-aggressive behavior. Certain species of beetles can be pests for a variety of reasons, including their penchant for damaging homes. While they’re not technically insects, certain species of poisonous spiders can be a major health risk requiring the intervention of an exterminator.