They can have some (or all) equal angles. A rectangle, for example, has all four angles equal but, because its sides are not the same measure, it is not a regular shape.
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A shape is irregular if all its sides and angles are notequal.
There are infinitely many possible shapes. Apart from a scalene triangle, none have a specific name. They are irregular polygons, but that is not enough. Irregular polygons can have equal sides (if there is at least one angle that is not equal to the rest) or equal angles (if there is at least one side that is not equal to the rest).
A regular and an irregular octagon both have 8 interior angles
Yes. A regular octagon must have equal angles, but an irregular octagon cannot have all its angles equal
Lots of shapes. To start with, an irregular blob (that is a technical term)!