Raccoons, skunks, and moles can damage your lawn by digging. Chances are, however, that they are digging to get at the grubs in the soil. Eliminate the grubs (see Insects) and you will deter these furry critters and improve the health of your lawn.
Extensive insect damage is often a sign of an unhealthy lawn. Apply the methods outlined for mowing, watering, fertilizing, and general maintenance. Your encounters with problem insects should lessen to an acceptable level.