How are succulents classified by shape?

By now everyone is probably fairly familiar with succulents, but we all know that there are also a great many varieties of succulents, with a great many forms as well. So today let's look at the forms of succulents and see which ones there are
The most common is the lotus shape in the picture above, which we call the Echeveria type, and this is also a succulent form everyone is very familiar with
There is also a form similar to the picture above, which we can call the Aloe type, or you can also call them the Haworthia type; of course, the classification I am talking about here is not a professional classification, but rather one that lets people distinguish succulent forms fairly simply
There is also a category we call the Aizoaceae type, the most typical being Lithops, whose shape resembles a little butt and which has also won countless fans. Are you one of them too?
Finally, of course, we have to mention the Sedum type; in fact, there are a great many succulents in the Sedum type
Of course, if we classify by form, these are all actually variations in leaf shape; in fact, succulents do not only have many forms in their leaves, but also many stem types and root types