A cube, a dodecahedron, an icosahedron amongst regular polyhedra. Many irregular polyhedra, including a prism.
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There is no such shape - unless there are other faces. If there is one rectangular face then you require at least four other faces - one on each edge of the rectangle - making a minimum of 5 faces.
The following are some examples of a shape with two flat face and one curved surface: A sphere intersected by two planes. An ellipsoid intersected by two plane faces. A paraboloid intersected by two plane faces. A cone intersected by two plane faces. A cylinder. A hyperboloid intersected by two plane faces.
A shape that when you draw a line on the shape and cut along the line you get two identical shapes. A circle is an example.
A prism.