One set of 3-d shapes meeting the requirements of the question is all prisms with regular, odd-sided polygons as bases.
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A cylinder
yeah it does * * * * * No, it does not. It has two pairs of parallel sides. One pair of parallel sides faces in one direction and the other pair of parallel sides faces in another direction.
Any shape wit four of more sides can have one pair of parallel sides.
trapezium
A trapezoid has only one pair of parallel sides of different lengths.