The browser used by the Answers community is useless at graphics and so I cannot show you some example. There are infinitely many shapes with only right angles which are not polygons. One example is a side view of a staircase. An "H" section, "I" section, "T" section (commonly used to describe steel girders), or a "Maltese Cross" are all examples of shapes with only right angles that are not quadrilaterals.
Finally, the question does not require the shape to have only square angles. There are many more shapes with two or more right angles and other angles as well.
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A square or quadrilateral.
A quadrilateral. There are numerous quadrelaterals including a square, a rectangle, a diamond etc
a square, quadrilateral or a cube.
a quadrilateral
A quadrilateral based pyramid.