Rhode Island has very few ghost towns, and it is easy to see why. It is the smallest state and the second most densely populated, and its population has grown in every census since 1790, so places tended to fill in rather than empty out. Slatersville, one of the mill villages that followed Samuel Slater's mill in Pawtucket (1793), is still lived in: its mills became apartments in 2007.
The biggest losses were deliberate. In 1915 the state let Providence take 14,800 acres of Scituate for a reservoir. Kent, Ashland, South Scituate, Richmond and part of North Scituate went under the water or were cleared, with 1,195 buildings condemned, among them 375 houses and 6 mills. The Scituate Heritage Trail counts Rockland and Ponaganset among the lost villages too. Nothing stands, and the land is closed to the public.
The rest of Rhode Island's ghost-town label comes from Wikipedia's short list and from our index, which has three entries. Two are real ruins in the woods: the cellar holes of Hanton City in Smithfield and the foundations of the Ramtail woolen mill in Foster. The third, Napatree Point in Westerly, was never a town. It was an army fort, torn down in 1928, and a row of summer houses that the 1938 hurricane destroyed, and today it is a nature preserve. The cards below say what each place is and whether you can go.