Find 31 furnished apartments for rent in Olive Branch, MS. There are a few options to consider. A semi-furnished apartment only comes with the basics, like a bed, couch, tables, and kitchen appliances. A furnished apartment includes basic furniture and pieces like coffee tables, lamps, nightstands, trash cans. A fully furnished, or turnkey, apartment comes with everything you need during your stay, including towels, sheets, and kitchenware. No matter which option you choose, a furnished rental offers a seamless transition into a new space.