There are many, the simplest that I can think of is an isosceles trapezoid.
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A parallelogram always has one set of parallel lines, plus another set also.A trapezoid (trapezium) always has exactly one set of parallel lines and no more.Any shape with more than four sides can have one set of parallel lines, but doesn'tnecessarily have to.
A geometric shape with only one set of parallel sides is a trapezoid.
A general trapezium, and selected versions of polygons with 5 or more sides.
A trapezium. It has one set of parallel sides. It has four sides.
I don't think this is possible. there is not a quadrilateral with these qualities. If it is a quadrilateral, it will automatically have parallel lines, but there is not one that has both. The closest one would be the trapezoid, with a set of parallel lines, but no right angle. The square and rectangle have two sets of parallel lines and 4 right angles.