This page shows all the twisty puzzles that I currently have (192 items).
They have been classified here by their inner mechanism, specifically by the number and direction of turning axes.
For example, you will find separate subclasses for face-turning cubes (6 turnable axes), corner-turning cubes (8 turnable axes) and edge-turning cubes (12 turnable axes).
Because the classification is based on the internal mechanism you will find some non-cubic puzzles under cubes (if they have 6 axes of movements), some cubes under face-turning octahedrons (if they have 8 axes of movements) and so on. These exceptions are called shape variations. They are classified together because the solution (how to restore the solved state) is similar for all puzzles that have the same number of axes, no matter how they look from outside.
Shape variations of face-turning cubes are shown as separate sub-subclass; for other types of puzzles the shape variations are shown together with their basic form.