Every rectangle has those qualifications.
That includes squares.
4 sides and 4 angles
A non-square rhombus is.
It is a rectangle unless all sides are congruent, in which event it is a square.
Normally, none.
A shape with parallel sides but no right angles is called a parallelogram
That's a rectangle (possibly a square). If two sides are parallel, and all angles are right angles, then the other two sides must be parallel also.
Draw a parallelagram this has the opposite sides parallel and no right angles
trapezoid
A rectangle has 4 right angles and 2 pairs of parallel sides.
A rhombus has 4 sides of equal length, opposing parallel sides, and no right angles
A quadrilateral is a four-sided polygon (closed shape made with line segments). Quadrilaterals have four angles (vertices) and come in many different shapes, depending on the length of their sides and the kinds of angles they have. The five most common quadrilaterals are the rectangle, square, parallelogram, rhombus, and trapezoid. A rectangle is a quadrilateral with opposite sides congruent (same length) and parallel. It has four right (90º) angles. A square has ALL four sides that are congruent, and two pairs of parallel sides. It also has four right angles. A parallelogram has two pairs of parallel sides. They form two acute and two obtuse angles. A rhombus has two pairs of parallel sides, but all sides are congruent. They also form two acute and two obtuse angles. Finally, a trapezoid, has only one pair of parallel sides. The parallel sides are NOT congruent. A trapezoid can be formed by two acute and two obtuse angles, or by two right angles, one acute, and one obtuse angle.
The shape you are looking for is a quadrilateral. If you have a square, all angles MUST be right angles. A parallelogram can also have 4 equal sides in length and parallel sides, but a parallelogram doesn't have right angles.