Jigsaw is the most common name for this type of puzzle, however, it is also known as a "dissected map" or a "dissected puzzle" in reference to its origins as a tool for teaching geography. Some people also call it a "saw puzzle" or a "picture puzzle" because of the method used to cut the pieces and the final objective of the game.
It's subjective to say what is better than a jigsaw puzzle, as it depends on the individual's preference and interest. Some people might find other types of puzzles such as crosswords, Sudoku or Rubik's cube more interesting and engaging than jigsaw puzzles.
A Wasgij is a type of jigsaw puzzle that is different from traditional puzzles. It is a “what-if” puzzle. Wasgij puzzles come with a picture on the box which is the clue to what the final image of the puzzle should be. However, the puzzle pieces are not of the same picture, but of something else entirely. The puzzle-solver must use their imagination and the clue on the box to figure out what the final image should be.
Different types of jigsaw puzzles include:
Traditional jigsaw puzzles with irregular shaped pieces.
Large piece jigsaw puzzles with bigger and easier to handle pieces.
3D jigsaw puzzles that can be built into a model.
Double-sided jigsaw puzzles that have a different image on each side.
Wasgij puzzles that require imagination and the use of clues to figure out the final image.