Sorting puzzles are the newest large family in casual gaming and the one people are most embarrassed to admit playing. They also hold attention better than almost anything else, and the reasons are structural rather than mysterious.
Progress is visible at every single move
Most puzzle formats have long stretches where you cannot tell whether you are winning. A sorting board never does: every move either groups something or does not, and the board looks measurably tidier than it did a second ago.
That continuous feedback is unusual. A chess position does not look better after a good move; a sorting board does, which is why it is easy to keep making one more.
The rule is one sentence and the depth is hidden
Move a thing onto a matching thing or into an empty space. That is the whole rule, and it conceals a real constraint problem — the free slots are a resource, and spending them badly loses boards.
Formats that teach nothing on the first board and everything on the twentieth are the ones that keep people. You do not feel like you are learning, and then a level defeats you and you realise you have been playing carelessly for an hour.
Failure is quiet, so it is never discouraging
A sorting board does not kill you. It stops being solvable, and you restart. There is no death animation, no lost progress, no penalty — which removes the small emotional cost that makes people stop playing other genres.
The trade-off is that a locked board is easy to not notice. Players regularly spend several minutes shuffling a board that became unsolvable long before.
How to actually get better at them
Two habits. Count your free slots before every move and treat the last one as untouchable — it is workspace, not storage. And prefer the move that completes a group over the move that tidies one, because a completed group returns a slot and a tidier group returns nothing.
Once those are automatic, the boards that used to lock stop locking, and the genre becomes a genuinely satisfying constraint puzzle rather than a pleasant way to lose forty minutes.