Retangles, squares, parralelegrams and various other shapes
A square, a rectangle, a rhombus and a parallelogram would all fit the given description
The only polygon that absolutely positively never has any parallel sides is a triangle. Any other shape comprised of four or more straight line segments could have one or more pairs that are parallel.
all triangles fit this description, as would many irregular (not all sides are of equal length) versions of shapes with more sides
They are a rhombus, a parallelogram, a rectangle and a square which are all 4 sided quadrilaterals.
A decagon has 10 sides. Any regular polygon with four or more sides will have pairs of sides that are parallel. A decagon will have 5 pairs of parallel sides.
A right hendecagon can have no parallel sides because there are eleven sides to a hendecagon. It is not a requirement that there be any pairs of parallel sides in an irregular hendecagon, although there could be one or more pairs.
A shape with four or more sides can have two parallel sides.
Oh, dude, you're talking about trapezoids, man. They're like those chill six-sided shapes with two pairs of parallel lines. So, if you're into shapes that are all about that parallel line vibe, trapezoids are where it's at.
A trapezium or parallelogram. A pentagon can have a pair of parallel sides. Polygons with 6 or more sides can have two (or more) pairs of parallel sides.
A decagon has 10 sides. Any regular polygon with four or more sides will have pairs of sides that are parallel. A decagon will have 5 pairs of parallel sides.
An equilateral hexagon would work. It has more than 2 pairs of parallel sides though. There is no shape with only 2 pairs of parallel sides besides a parallelogram.
A parallelogram and selected polygons with 6 or more sides.