Instead of the preface
At every step, everything is now simplified and simplified, authorization is becoming less noticeable and more reliable. In this topic, I tried to fantasize about complex authorizations.
Many input fields for entering email addresses

On the authorization form is a number of input fields associated with the grid.
The login key is a bunch: email + key.
For example:
pupkin@mail.ru
F2C1Login is recorded in cell F2, the address of the mail server with the dog is in cell C1.
Bank cells

The authorization page is a large number of bank cells with numbers.
When registering - choose a free cell (no lock) and enter your email address there.
Our key is our email, and the number of the cell that we chose is unknown except for us.
(It is clear that for millions of users this method is not very suitable, but still it has the right to life)Browser resources
An extension is put in the browser that will know which tabs we have open
(I'm not sure that extensions can do this) .
The key to enter the site is a bunch of email and a set of open tabs (for example: Habr, Bash and Yandex Weather).
Alternatively, instead of tabs, you can use a set of browser bookmarks.
')
Chess

In this version, the key is the position in chess. Without logins and emails, positions in chess and so much.
When registering, the user moves the pieces, exposing only to him a known position in chess. Removes extra pieces from the board, the remaining moves.
For authorization, you just need to remember your original position.
(Well, if someone still has the same positions, then excuse me - you had to invent something more unique)Depth captcha

It is still quite difficult for programs to recognize three-dimensional images and to understand which object is in the depth and which is in the foreground. It is easy to generate such pictures, it is difficult to recognize them.
For the example above, you can still write a program, but for the example below, this will already be a problem.

In general, I cited these examples in order to show the idea of such a “deep” captcha, here we need to work through the details.
Conclusion
Let's reinvent the bikes!