In neighboring South Kingstown (covering villages of Wakefield, Peace Dale, Matunuck, and others);)
Matunuck Oyster Bar
La Strada Pizzeria - http://www.lastradacafepizzeria.com/
Sweet Cakes bakery
Bluebird Cafe (grear breakfast, but long waits!
For ice cream, Brickley's is by far the best in the area. They have 2 locations: Narragansett and Wakefield. If you like soft serve, it's only available at the Narragansett location. The Wakefield storefront is more quaint, though.