That's an infinite list.
3
All shapes have sides. Including a circle which has one curved side.
They all have sides, and they are all shapes.
A shape can have one side, as in a circle or an ellipse; and there are no limits to the maximum number of sides a polygon can have.
It's a quadrilateral
There are infinitely many shapes and not all of them have names.
2
1
They are called regular polygons
There are infinitely many 2d shapes so it is impossible to list them all.
No. Any shape with a curved side cannot triangulate.
There are infinitely many 3d shapes and many of them do not have specific names.