The different types of engagement ring settings available are solitaire, halo, pavé, three-stone, and cathedral. Solitaire settings feature a single diamond or gemstone in a prong setting, while halo settings feature a single diamond or gemstone surrounded by a circle of smaller diamonds or gemstones. Pavé settings feature a band of small diamonds or gemstones that are set close together, while three-stone settings feature three diamonds or gemstones of varying sizes, and cathedral settings feature a single diamond or gemstone raised above the band.