Sorry, I thouighht you said without parallel sides.
The ones with parallel sides are: square, parallelogram, rhombus, square. trapezoid.
There are 6 types of quadrilateral.
parallelogram, square, rhombus, rectangle, trapezoid, kite.
All of the above quadrilaterals have at least one pair of parallel sides with the exception of the kite, which has none.
So, a quadrilateral without any parallel sides is either a kite or is just an irregular quadrilateral.