Yes, we hunt rabbits. Here in Michigan it's cottontail rabbits which are predominant in the southern part of the state, and "snowshoes" (aka Varying Hare) in the north. Called snowshoes because they have big feet which allows them to run on top of deep snow and helps them to avoid predators such as fox and coyote which are slowed down when they sink into the snow. They also change colors - brown in summer, turning all white during the winter.
They can be hunted by stalking, but the most fun and efficient way is to use hounds (beagles or bassets). Hounds jump them, run them, and hunters take posts and wait for them to pass by. They always circle, snowshoes usually make bigger circles (sometimes the hounds even go out of hearing before they circle back). Some shots are running, but sometimes sitting shots are presented as they will stop and listen to the hounds if they get a distance ahead of them, then take off running again.
Keith L: I've used one of those calls - "Mr. Squirrel" or something like that - had it for years and it does work, not all the time, but enough to make it interesting. Can be a big help in the early season when the leaves are thick. Typical response is they run out on a limb where they can see (and can be seen!) and chatter up a storm! Great sport with that .32ML. Yeah, some of those old ones have some tough hide!